Write the equation of the line, in slope-intercept form y=mx+b, that has a slope of 9 and a y-intercept of -3.

Write The Equation Of The Line, In Slope-intercept Form Y=mx+b, That Has A Slope Of 9 And A Y-intercept

Answers

Answer 1

Step-by-step explanation:

We are supposed to write the equation in slope intercept form of a line . Firstly we know the slope intercept form as ,

[tex]\implies\sf y = mx + c [/tex]

Where ,

m is the slope c is the y Intercept .

Now by question , the given data is ,

m = 9 c = -3

On substituting the respective values we have ,

[tex]\sf\implies y = 3 * x + (-3)\\\\\sf\implies\red{ y = 3x - 3 } [/tex]

Hence the slope intercept form is y = 3x - 3 .


Related Questions

Can someone pls give me the answer to this?

Answers

Answer:

This is all the above

Step-by-step explanation:

all answers are true to this graph

Calculate the pressure acted on an area of 30 square meter by a force of 15N​

Answers

Answer:

pressure is force/area

Step-by-step explanation:

answer is 15/30. here's the equation. P=F/A

Answer:

0.2N/m^2

Step-by-step explanation:

P = Force / Area

P = 15N / 30m^2

P = 0.2 N/m^2

Solve the equation
-4(2-1.2x) = 40

Solve the equation
9=6y+33

Answers

For the first one x=10 and for the second one y=-4

Answer:

x = 10

y = -4

Step-by-step explanation:

[tex]\ -4(2 - 1.2x ) = 40\\\ -8 + 4.8x = 40\\\ 4.8x = 40+8\\\ 4.8x = 48\\x = \frac{48}{4.8} = \frac{48 \times 10}{48} = 10[/tex]

[tex]9 = 6y + 33\\6y = 9 -33\\6y = -24\\y = -4[/tex]

if the product of any two rational numbers is 2 and one of them is 1/7, find the other

Answers

Answer:

14

Step-by-step explanation:

1/7*X=2

X=2/(1/7)

X=2*7

X=14

Given :-

Product of two rational numbers = 2

One of the number = [tex] \frac{1}{7} [/tex]

To find:-

The other number.

[tex]\huge{\boxed{\boxed{\tt{\purple{Solution\:⤵}}}}}[/tex]

[tex]\sf\blue{The \:other \:number \:is\: 14.}[/tex] ✅

Step-by-step explanation:-

❥ Let the other number be [tex]x[/tex].

❥ As per the question, we have

[tex]product \: of \: two \: rational \: numbers \: = 2 \\ ⇢  \frac{1}{7} \times x = 2 \\ ⇢ x = 2 \times 7 \\ ⇢ x = 14[/tex]

[tex]\sf\red{Therefore,\:the\:other\: number\: is\: 14.}[/tex]

To verify:-

[tex] \frac{1}{7} \times 14 = 2 \\➪ \: \frac{14}{7} = 2 \\ ➪ \: 2 = 2\\ ➪ \: L. H. S. = R. H. S.[/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Justin played video games for the following amounts of time this past week: 42 minutes, 35 minutes, 28 minutes, 55 minutes, and 57 minutes. What was the median amount of time Justin played video games this past week?

Answers

Answer:

28, 35, 42, 55, 57

5 numbers

Middle number - 42

Solve by elimination
2x - 3y = -6
-2x - 2y = 26

Answers

Answer:

x=  -9       y= -4

Step-by-step explanation:

Step 1:

  2x-3y=-6

+ -2x-2y=26

_____________

         -5y=20

Step 2:

Get y by itself by dividing -5 on both sides

20/-5=-4

Therefore, y= -4

Step 3:

Plug -4 into the y for the first equation to get the number for x

2x-3(-4)=-6

2x+12=-6

2x= -18

x= -9

For which function does f decrease by 15% every time x increase by 1? A: f(x)= 0.15^x B: f(x)=8.5^x C: f(x)=15^x. D: f(x)=85^x

Answers

Answer:

[tex]f(x) = (0.85)^x[/tex]

Step-by-step explanation:

Exponential amount of decay:

The equation for an amount that decays exponentially has the following format:

[tex]A(x) = A(0)(1 - r)^x[/tex]

In which r is the decay rate, as a decimal.

Decrease by 15%

This means that [tex]r = 0.15[/tex]. So

[tex]f(x) = (1 - r)^x = (1 - 0.15)^x = (0.85)^x[/tex]

So

[tex]f(x) = (0.85)^x[/tex]

In a survey of a town, 54% of residents own a car, 34% of residents own a truck, and 11% of residents own both a car and a truck. What is the conditional probability that a person who owns a car also owns a truck? Round to the nearest whole number.

Options:
20%
46%
23%
32%

Answers

20 percentage I will finish my 20 characters

I need help can you guys help me

Answers

Answer:

90

Step-by-step explanation:

a right angle is always 90 degrees

90 degrees

Explanation- because a triangle has to =180 degrees so if you have one right triangle (90 degrees) the other two angles have to add together to make 90.

Beatrice made 7 2/3 cups of lemonade for her lemonade stand. Later, she made 10 3/5 more cups of lemonade. How many cups of lemonade did she make in total?

A: 17 4/15
B: 17 5/8
C: 18 4/15
D: 5/8

Answers

Answer:

C: 18 4/15

Step-by-step explanation:

7 2/3 + 10 3/5

Convert fractions so that they share a common denoninator:

7 10/15 + 10 9/15

17 19/15

18 4/15

Maria practiced for her piano recital each day for three days. The first day she practiced for hour, the second day she practiced for hours, and the third day she practiced for hours. By how much did she increase the time she practiced each day? Group of answer choices

Answers

Answer:

3/4

Step-by-step explanation:

Maria practiced for her piano recital each day for three days. the first day she practiced for 3/4 hour, the second day she practiced for 1 1/2 hours, and the third day she practiced for 2 1/4 hours. by how much did she increase the time she practiced each day?

the increase in hours practiced can be determined by calculating the difference between the hours practiced on the second and first day

[tex]1\frac{1}{2} - \frac{3}{4}[/tex]

[tex]1\frac{2 - 3}{4}[/tex]         the lowest common multiple that can divide 2 and 4 is 4.

[tex]\frac{6-3}{4}[/tex]          if 2 is subtracted from 3, the answer  would be negative. So,                                              borrow 1 from the whole number. the value of this borrowed one would be equal to 4 which is the LCM. Add 4 to 2. this gives 6

[tex]\frac{3}{4}[/tex]

Please Help! Answer full step by step.

Triangle ABC has vertices A(- 3, - 4), B(16, - 2) and C(13, - 10) . Show algebraically that ABC is a right angled triangle.

Answers

Triangle ABC has the three sides AB, BC, and AC.

Let's find the slope of each line. We'll use the slope formula

Let's start with the slope of line AB.

A = (-3, -4) = (x1,y1)

B = (16, -2) = (x2,y2)

m = slope

m = (y2-y1)/(x2-x1)

m = (-2-(-4))/(16-(-3))

m = (-2+4)/(16+3)

m = 2/19

The slope of line AB is 2/19. I'll keep it in fraction form.

We'll use this later, so let p = 2/19.

---------------

Repeat those steps to find the slope of BC

B = (16, -2) = (x1,y1)

C = (13, -10) = (x2,y2)

m = (y2-y1)/(x2-x1)

m = (-10-(-2))/(13-16)

m = (-10+2)/(13-16)

m = -8/(-3)

m = 8/3

The slope of line BC is 8/3.

Let q = 8/3 so we can use it later.

---------------

Now find the slope of line AC.

A = (-3, -4) = (x1,y1)

C = (13, -10) = (x2,y2)

m = (y2-y1)/(x2-x1)

m = (-10-(-4))/(13-(-3))

m = (-10+4)/(13+3)

m = -6/16

m = -3/8

The slope of line AC is -3/8

Let r = -3/8.

---------------

To recap everything so far, we have

p = slope of line AB = 2/19q = slope of line BC = 8/3r = slope of line AC = -3/8

We can see that,

p*q = (2/19)*(8/3) = 16/57q*r = (8/3)*(-3/8) = -1p*r = (2/19)*(-3/8) = -6/152 = -3/76

Of those slope multiplications, q and r multiply to -1 is what we should focus on. If two slopes multiply to -1, then their lines are perpendicular. This applies to any perpendicular lines where neither line is vertical, and neither is horizontal.

The fractions 8/3 and -3/8 are negative reciprocals of one another. We flip the fraction and flip the sign from positive to negative, or vice versa. This is another way to see we have perpendicular slopes.

So in short, we've shown that BC and AC are perpendicular, and therefore triangle ABC is a right triangle.

----------------------------------------------------------------

To solve this problem a completely different way, we could follow this outline:

Step 1) Find the length of each side AB, BC, and AC. Use the distance formula. Step 2) Apply the pythagorean theorem converse. If you can show a^2+b^2 = c^2 is true, then the triangle with sides a,b,c is a right triangle, where c is the longest side (hypotenuse) opposite the right angle.

Through step 1, you should find that,

AB = sqrt(365)BC = sqrt(73)AC = sqrt(292)

Let a = sqrt(73), b = sqrt(292), c = sqrt(365). You should find that a^2+b^2 = c^2 is a true statement based on those values, and therefore we have a right triangle. The longest side is AB = sqrt(365), making angle C to be the 90 degree angle. The diagram is shown below. I used GeoGebra to make the diagram.

A Skateboard is reduced 25%
in price in a sale. The old price
was $122. Find the new price.​

Answers

Answer: 30.5

Step-by-step explanation:

The skateboard is $30

what is the volume of a cone with a radius of 13cm and diameter 24cm?

Answers

4247.43327 Or short 4247.4!

Step-by-step explanation:

(Mr. Garduño got the dartboard pictured below for
Christmas. It is a regulation size dartboard with a
diameter of 18 inches. It is divided into 20 sectors
(slices). What is the length of the outside arc in each
sector?

Answers

Answer:

fart I have a great job and the people whose this movie I don't have to work on that is a great job with your family for a relationship but not in a Philippine language is

Which statement is true? Only some rectangles are parallelograms. Parallelograms have 2 pairs of parallel sides. Therefore, only some rectangles have 2 pairs of parallel sides. All rectangles are parallelograms. Parallelograms have exactly 1 pair of parallel sides. Therefore, all rectangles have exactly 1 pair of parallel sides. Only some rectangles are parallelograms. Parallelograms have exactly 1 pair of parallel sides. Therefore, only some rectangles have exactly 1 pair of parallel sides. All rectangles are parallelograms. Parallelograms have 2 pairs of parallel sides. Therefore, all rectangles have 2 pairs of parallel sides.

Answers

Answer:

STATEMENT NO. 4 IS CORRECT.

Step-by-step explanation:

Because every rectangle has two pair of parallel lines so it can be called a parallelogram.

Anybody have the correct Answer for this math problem?

Answers

Answer:

Teorema de Pitágoras

Step-by-step explanation:

Answer is 9.

Which statement make correctly uses limits determine a vertical asymptote of G(x)=-7(x-5)^2(x+6)/(x-5)(x+5)

Answers

Answer:

There is a vertical Asymptote at x = 5 because [tex]\lim_{x \to 5^{-} } G(x) = \infty\\lim_{x \to 5^{+} } G(x) = -\infty[/tex]

There is a vertical Asymptote at x = -5 because [tex]\lim_{x \to -5^{-} } G(x) = \infty\\\lim_{x \to -5^{+} } G(x) = -\infty[/tex]

Step-by-step explanation:

The exact question is as follows :

Given - G(x) = -7(x-5)^2(x+6)/(x-5)(x+5)

To find - Which statement make correctly uses limits determine a vertical Asymptote of G(x)

Solution -

Vertical Asymptotes are vertical lines which correspond to the zeroes of the denominator of a rational function.

Here the given function is the rational function

Denominator of G(x) = (x - 5)(x + 5)

So,

Put denominator = 0, we get

(x - 5)(x + 5) = 0

⇒x = 5, -5

∴ we get

G(x) has vertical Asymptotes at x = 5 and x = -5

Now,

At  x= 5

[tex]\lim_{x \to 5^{-} } G(x) = \infty\\\lim_{x \to 5^{+} } G(x) = -\infty[/tex]

And

At x = -5

[tex]\lim_{x \to -5^{-} } G(x) = \infty\\\lim_{x \to -5^{+} } G(x) = -\infty[/tex]

∴ we get

There is a vertical Asymptote at x = 5 because [tex]\lim_{x \to 5^{-} } G(x) = \infty\\lim_{x \to 5^{+} } G(x) = -\infty[/tex]

There is a vertical Asymptote at x = -5 because [tex]\lim_{x \to -5^{-} } G(x) = \infty\\\lim_{x \to -5^{+} } G(x) = -\infty[/tex]

Answer:

Step-by-step explanation: A

Camille goes to sleep at 8:30 pm and wakes up at 6:00 am. How long does Camille sleep?

Answers

Answer:

9. 5 Hours

Step-by-step explanation:

8:30 AM to 12:00 PM = 3.5 hours

12:00 PM to 6:00 PM = 6 hours

Total = 6 + 3.5 = 9.5 hours  

Hope this answer helps you :)

Have a great day

Mark Brainliest

y>-4x+5 and y>2x-7, how to graph it?

Answers

Answer:

Graph.

y>−4x+5 and y>2x−7

Step-by-step explanation:


e) If A = {x:xis a letter in the word 'MATHEMATICS'}, list the members and find
n (A).

Answers

Given :

If, A = { x : x is a letter in the word 'MATHEMATICS' } .

To Find :

The members of A and find  n (A).

Solution :

We have given a set, A = { x : x is a letter in the word 'MATHEMATICS' } .

Now, we know in set theory recurring element is written once only i.e all unique elements should be there in the set.

So,

A = { M, A, T, H, E, I, C, S }

Now, number of element in set A is 8.

Therefore, n(A) = 8 .

help please need done today

Answers

Answer:

77 ft.

Step-by-step explanation:

7*8+7*3=77

it is 77 feet i’m sure

Arrange the matrices in increasing order of their determinant values.

Answers

Answer:

c, a, b

Step-by-step explanation:

Given

See attachment for matrices

(a)

[tex]D = \left[\begin{array}{cc}\cos\theta &\sin\theta\\ -\sin\theta& \cos\theta\\\end{array}\right][/tex]

The determinant of the matrix is:

[tex]|D |= (\cos\theta * \cos\theta - \sin\theta *- \sin\theta)[/tex]

[tex]|D | = \cos^2\theta + \sin^2\theta[/tex]

Using trigonometry ratio, we have:

[tex]|D | = 1[/tex]

(b)

[tex]\left[\begin{array}{ccc}2&0\\0&2\end{array}\right][/tex]

The determinant of the matrix is:

[tex]|D| = 2 * 2 - 0 * 0[/tex]

[tex]|D| = 4 - 0[/tex]

[tex]|D| = 4[/tex]

(c)

[tex]\left[\begin{array}{ccc}0&i\\-i&0\end{array}\right][/tex]

The determinant of the matrix is:

[tex]|D| = 0 * 0 -(-i * i)[/tex]

[tex]|D| = 0 +i^2[/tex]

[tex]|D| = i^2[/tex]

In complex numbers

[tex]i^2 = -1[/tex]

So:

[tex]|D| = -1[/tex]

So, the order of the determinants is: c, a, b

Kendall makes candles and sells them online. To make an Essential Elegance candle, she adds
3 drops of lavender and 6 drops of vanilla to a bowl of unscented wax. To make a Garden
Glory candle, she adds 4 drops of lavender and 10 drops of vanilla to the bowl instead. Which
candle has a greater ratio of lavender to vanilla?

Answers

Answer:

Essential Elegance Candle

Step-by-step explanation:

Ratios are Lavender:Vanilla

For the Essential elegance candle the ratio is 3:6 which can be simplified to 1:2 whereas the Glory Candle is 4:10 which can be simplified to 2:5 on either one the vanilla is the bigger number but in terms of ratio it would be the essential elegance since 1/2>2/5

x + y=100 x-y=10 pair of equation

Answers

Answer:

x = 55, y = 45

Step-by-step explanation:

add both equations: 2x = 110, x= 55, input back in to get y = 45

This is Right answer.....

I hope you understand....

Thanks....

Renee wrote the pattern shown below. What is the rule for following Renee's pattern? 23, 47, 95, 191 A. multiply by 2 B.multiply by 2, add 1 C.multiply by 2, add 2 D.multiply by 2, subtract 1

Answers

Answer:

B. Multiply by 2, add 1

explanation:

23× 2 = 46 + 1 = 47

47 × 2 = 94 + 1 = 95

95 × 2 = 190 + 1 = 191

What is the value of X in the triangle shown?

Answers

Answer:

Step-by-step explanation:

take 45 degree as reference angle

using sin rule

sin 45=opposite/hypotenuse

1[tex]\sqrt{2}[/tex]=x/16

x=16/[tex]\sqrt{2}[/tex]

x=8[tex]\sqrt{2}[/tex]

Mrs. Franklin sells MSU hats and sweatshirts. She is hoping to earn $500 by charging
$20 for each sweatshirt and $10 for each hat. If she sells a total of 30 items, Mr.
Sanders wants to know how many of each item she sells.
Time
Atten
30N
Let H represent the number of hats and S represent the number of sweatshirts.
What equation relates S and H to the total Money earned?
205 + 10H = 500
105 + 20H - 500
105 = 500
10H - 400

Answers

Answer:

The answer is 20s+10h=500

Step-by-step explanation:

The reason is because 20 times 20=400 and then 10 times 10= 100 then you add those together and get $500

If ABC is reflected across the y-axis, what are the coordinates of A?

Answers

Answer:

A. (2,5)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I will give you brainliest and 5 star and thanks if its correct

Answers

Answer:

A

Step-by-step explanation:

The first graph shows a dot on .5 and the recipes calls for half a cup of sugar.

Answer:

Step-by-step explanation:

[tex]f=\frac{1}{2}s[/tex] is the graph of a straight line with a slope of 1/2. This implies that for every cup of sugar, 1/2 a cup of flour is needed. This also implies what the graph looks like in a coordinate plane. Slope is defined as rise over run, or y over x, so if our slope is 1 over 2, from the origin we go up 1 unit and over 2 units along the length of the whole line. The only graph that displays this slope is graph A.

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