Write the equation of the line that passes through the points (−3, 5) and (2, -10) in slope-intercept form.​

Answers

Answer 1

Answer:

[tex]y=-3x-4[/tex]

Step-by-step explanation:

Hi there!

Slope intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (−3, 5) and (2, -10)

[tex]m=\frac{-10-5}{2-(-3)}\\m=\frac{-10-5}{2+3}\\m=\frac{-15}{5}\\m=-3[/tex]

Therefore, the slope is -3. Plug -3 into [tex]y=mx+b[/tex] as m:

[tex]y=-3x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-3x+b[/tex]

Plug one of the given points, (−3, 5) or (2, -10) into the equation and isolate b

[tex]5=-3(-3)+b\\5=9+b[/tex]

Subtract 9 from both sides

[tex]5-9=9+b-9\\-4=b[/tex]

Therefore, the y-intercept is -4. Plug -4 into [tex]y=-3x+b[/tex] as b:

[tex]y=-3x-4[/tex]

I hope this helps!


Related Questions

Darion buys 2 pounds of almonds for $21.98 and 3 pounds of dried apricots for $26.25. Which is less expensitve per pound?

Answers

Answer:

Dried Apricots

Step-by-step explanation:

Divide dollars per pound to find amount per pound and then compare.

Help me find the volume

Answers

Answer:

volume formula: b*w*h

(base times width times height)

Step-by-step explanation:

here, we can see the base is 2mm, the length is 2mm, and the height is 3mm.

so, if we put them in as the base, width, and height, we get

2*2*3

then, multiply!

2*2*3

= 4*3

= 12

so, the answer is 12 cubed millimeters.

Please help
solve the system of equations

Answers

Answer:

(x, y) = ( 5, 6)

(x, y) = ( - 1, 0)

Step-by-step explanation:

[tex] \begin{cases} y + x^2 - 5x = 6\\\\ y - x = 1\implies y = x + 1\end{cases} [/tex]

Plug [tex] y = x +1 [/tex] in the equation [tex] y + x^2 - 5x = 6[/tex] we find:

[tex] x + 1 + x^2 - 5x = 6[/tex]

[tex] x^2 - 4x - 5=0[/tex]

[tex] x^2 - 5x +x- 5=0[/tex]

[tex] x(x - 5) +1(x- 5)=0[/tex]

[tex] (x - 5) (x+1)=0[/tex]

[tex] (x - 5) =0, \: (x+1)=0[/tex]

[tex] x =5, \: x=-1[/tex]

[tex] When \:x =5 \implies y =5+1=6 [/tex]

(x, y) = ( 5, 6)

[tex] When \:x =-1 \implies y =-1+1=0 [/tex]

(x, y) = ( - 1, 0)

Guys pls help me!!!!!

Answers

Answer:

13 1/5 Kilometers

Step-by-step explanation:

you times 4 1/2 by 3 because if she runs 4 1/2 in a third of an hour then she runs 4 1/2 3 times every hour.

PLZ HELP ME
find measure of arc STU
39
219
135
141

Answers

Answer:

Step-by-step explanation:

141

Simplify 6 -square root of 15 divided by 2

Answers

Answer:

hjyfgtuygtfvfvhjkoijuhgytfrdetrft

Step-by-step explanation:

dcfgvhbjnkiouytrfdr

Answer:

-2.94

Step-by-step explanation:

I got the answer correct on edge

Jack is learning to save, spend, and give his money away. He has determined to give away 10% of his summer earnings. If he gives away 256 dollars, then how much did he each this summer?

Answers

Answer:

$2,560

Step-by-step explanation:

Just multiply 256 by 10, and you get his money earned.

The following table represents the total cost, in dollars (y) to join a gym for x number of months. The cost includes a one-time joining fee of 10$. Does the data in the table represent a proportional relationship? How do you know?

Answers

Answer:

The table does not represent a proportional relationship because the ratio of the y-values to the corresponding x-value at each data point is not constant

y/x ≠ Constant

Step-by-step explanation:

The table of values for the total cost in dollars (y) to join a gym for "x" number of months is presented as follows;

x; 1, 2, 3, 4, 5

y; 25, 40, 55, 70, 85

The rate of change of the data in the table is given by the following formula;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Between the 1st and the 3rd point, we have;

m = (55 - 25)/(3 - 1) = 15

Between the 1st and the 5th point, we have;

m = (85 - 25)/(5 - 1) = 15

Therefore, the rate of change of the y values  per unit change of the x-value is 15

Therefore, the "x" and y-values have a linear relationship

However, for a proportional relationship, we have;

y/x = Constant

At the 1st point, we have;

25/1 = 25

At the 3rd point, we have;

55/3 = 18.[tex]\overline 3[/tex]

∴ y/x is not constant and the the data in the table does not represent a proportional relationship.

What is the distance between (-3, 5) and
(-7,5)

Answers

the distance is 4 units down

Answer:

The distance between these two coordinates is 4.

Step-by-step explanation:

[tex]x_{2} - x_{1}[/tex]

[tex]y_{2} - y_{1}[/tex]

- 7 - (-3) = 4

5 - 5 = 0

4 + 0 = 4

What is the volume of the triangular prism below?

Answers

Answer:

15cm

Step-by-step explanation:

Answer:

30 cmcubed

Step-by-step explanation:

hope it helps your friend if I'm wrong tell i will try it out again good day.

Which quadratic function is represented by the graph?

f(x) = 0.5(x + 3)(x − 1)
f(x) = 0.5(x − 3)(x + 1)
f(x) = 2(x + 3)(x − 1)
f(x) = 2 (x − 3)(x + 1)

Answers

Answer:

f(x) = 0.5(x + 3)(x − 1)

A square has an area of 9 sq.m and has a perimeter which is equal to the
perimeter of an equilateral triangle. What is the area of the equilateral triangle?​

Answers

since 9=3^2 that means each side is 3m and thus the perimeter being 12m and the area of a triangle is half times base times height which means 12 times half equals 6 times 12 which equals 72 therefore ur andwer would be 72 square metres

A dance studio requires each dancer to pay a registration fee plus an hourly rate for all lessons. If the total cost, y, of a dancer's lesson is modeled by the equation y = 25x + 50, how could the y-intercept be interpreted?

Answers

Answer:

(0,50)

Step-by-step explanation:

Given the total cost of a dancers lesson  modeled by the equation y = 25x + 50, the y intercept occurs at the point where x = 0.

Substitute x = 0 into the expression

y = 25x + 50

y = 25(0) + 50

y = 0+50

y = 50

Hence the y intercept is (0, 50). This shows that the total cost of the dancers lesson registration fee is 50

Find the volume of this cone.
Round to the nearest tenth.
10ft
6ft

Answers

Answer:

433.5

Step-by-step explanation:

The volume of the cone with a radius of 6ft and a height of 10ft is approximately 301.4 cubic feet.

What is the volume of the cone?

A cone is simply a 3-dimensional geometric shape with a flat base and a curved surface pointed towards the top.

The volume of a cone is expressed as;

V = (1/3)πr²h

Where r is the radius of the base, h is the height of the cone and π is constant pi ( π = 3.14 ).

From the diagram:

Slant height l = 10 ft

Radius r = 6 ft

Height h =?

Volume V =?

First, we determine the height of the cone using Pythagoras theorem:

h² = 10² - 6²

h² = 100 - 36

h² = 64

h = √64

h = 8

Plug the values into the above formula and solve for the volume:

V = (1/3)πr²h

V = (1/3) × 3.14 × 6² × 8

V = (1/3) × 3.14 × 36 × 8

V = 301.4 ft³

Therefore, the volume is approximately 301.4 cubic feet.

Learn more on volume of cones here: brainly.com/question/1984638

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Mr.Rosado is buying a jacket that regularly cost $40. It is on sale for 20% off. The store also adds a tax of 8%. After tax, how much does Mr.Rosado pay for the jacket?

Answers

Answer:

$11.20

Step-by-step explanation:

Answer:

$34.56

Step-by-step explanation:

32x.08=2.56

40x.2=8

40-8=32

32+2.56=34.56

4+5 4+5 4+5 4+5 ...................

Answers

Answer:

69

Step-by-step explanation:

Answer:

9 9 9 9...................

Step-by-step explanation:

i d k if you meant 54 or 5 and 4

plz help me pls
8 hr = _________ min

30 min = _________ s

15 hr = ___________ min

5 yr = ____________d

7 d = ____________ hr

24 hr = __________ min

600 s = __________ min

60,000 min = __________ hr

Answers

Answer:

8hr=480min

30min=1800sec

15hr=900min

5yr=1825d

Step-by-step explanation:

what the answer of ½ ÷ ½

Answers

Answer:

its 1

Step-by-step explanation:

PLS HELP MEEE I WILL GIVE BRAINLY THINGY

Answers

Answer:

125

Step-by-step explanation:

5 x 5 = 25

25 x 5 = 125

Answer:

the value of 5³ is 125 all you have to do is 5×5×5=125

A bag contains 8 red M&Ms, 13 blue M&Ms, 4 brown M&Ms, and 8 green M&Ms. An M&M is picked at random from the bag. What is the probability of picking: A Red M&M:

Answers

Given:

Number of red M&Ms = 8

Number of blue M&Ms = 13

Number of brown M&Ms = 4

Number of green M&Ms = 8

An M&M is picked at random from the bag.

To find:

The probability of picking a red M&M.

Solution:

We have,

Number of red M&Ms = 8

Total number of M&Ms [tex]= 8+13+4+8[/tex]

                                       [tex]=33[/tex]

So, probability of picking a red M&M is:

[tex]\text{Probability}=\dfrac{\text{Number of red M&Ms}}{\text{Total number of M&Ms}}[/tex]

[tex]\text{Probability}=\dfrac{8}{33}[/tex]

Therefore, the probability of picking a red M&M is [tex]\dfrac{8}{33}[/tex].

Can someone help with this question??

Answers

D 11 1/4

Step-by-step explanation:

3/4 + 1 1/2 is 2 1/4

2 1/4 x 5 is 11 1/4

6. Factor 4x from 22x2 + 40x 6.​

Answers

6. Factor 4x from 22x2 + 40x 6.​

is that multiply 4x 22x2 +40x6

Answer:

I think that would be 4(71 - ×)

The graph below shows the amount of money Johnny saved for 12 months. Which amount is closest to Johnny's rate of saving over those 12 months?
A. $14.00 per month
B. $13.75 per month
C. $15.00 per month
D. $7.14

Answers

The answer is A.
look at the graph and see that when x=12 the y value is nearly $170. then divide 170 by 12 and you get 14.16

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

Johnny's rate of saving over the 12 months is $14 per month.

Option A is the correct answer.

What are coordinates in a graph?

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

From the graph, we have the following coordinates.

= (5, 70)

This means after 5 months $70 is saved.

= (10, 140)

This means after 10 months $140 is saved.

Johnny's rate of savings.

= Change in the savings amount/change in the months

= (140 - 70) / (10 - 5)

= 70/5

= $14

Thus,

Johnny's rate of saving over the 12 months is $14 per month.

Option A is the correct answer.

Learn more about coordinates here:

https://brainly.com/question/13118993

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Figure ABCD is a parallelogram. What is the value of x? А B O 6 07 8 5x + 3 38 9 D C​

Answers

Answer:

7

Step-by-step explanation:

7 times 5 is 25 +3 is 38

The value of x is equal to 7.

Quadrilaterals

There are different types of quadrilaterals, for example: square, rectangle, rhombus, trapezoid and parallelogram.  Each type is defined accordingly to its length of sides and angles. For example,  the opposite sides for a parallelogram are equal and parallel.

Considering that the opposite sides of the  parallelogram (ABCD)  are equal and parallel, so AD=DC.  Therefore,

                                 5x+3=38

                                 5x=38-3

                                 5x=35

                                 x=7

Read more about the parallelogram here:

https://brainly.com/question/20526916

What appears to be the domain of the part of the exponential function graphed? A) x ≤ 1 B) h(x) ≤ 1 C) x ≤ 5 D) h(x) ≤ 5

Answers

A) x is less than it equal to 1 because your domain can’t have h(x) because that’s your function and would be your range but in this case it’s your domain and your domain or else known as the x coordinate would have to be the number on the x axis that your line starts, your line begins on line 1 on the x axis which would be your domain

what is 15 2/9 as a whole number

Answers

Answer: Unless you round it to a whole number the answer would be 15.2 but if you round to a whole number it would just be 15 lol.

a whole number is a number without decimals or fractions, so it would just be 15 (you have to round) :)

help? ill give brainliest

Answers

Answer: A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Hope this helps also I had this on a test and it was right

The speed of light is approximately 3x10^8 m/s. How far does light travel in
240 seconds?
7.2x10^10 m
7.2x10^-10 m
1.25x10^6 m
1.25x10^-6 m

Answers

Answer:

7.2*10^10m

Step-by-step explanation:

3*10^8 multiplied by 240 gives 72000000000.

In scientific notation, this is 7.2*10^10.

Therefore, 7.2*10^10m.

Answer:

1.25x10^_6 m this my own answe

PLZ HELP NOW IM FAILING THIS CLASS (work not needed... just answers)

Answers

Answer:

1.D

2.B

Step-by-step explanation:

question 1

-2(2)²+1/3(2)

-7/6

question 2

(-4x-2)(2x)

-8x²-4x

CAN SOMEONE PLEASE HELP ME!!!!!

Answers

9514 1404 393

Answer:

  $7.00 per week

Step-by-step explanation:

The balance at the end of week 1 is $39-32 = $7.00 higher than at the start. The rate of change is $7.00 per week.

Answer:

$ 7.00 per week

Step-by-step explanation:

#CarryOnLearning
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