Write an equation in slope-intercept form for the line passing through the two points (0,-2) and (3,0)

Answers

Answer 1

Answer:

y = (2/3)x - 2

Step-by-step explanation:

This problem is interesting in that both the x- and the y-intercepts are given.  The y-intercept is (0, -2), and so 'b' in 'y = mx + b' must be -2:

y = mx - 2.  The x-intercept is (3, 0), so we know that y = 0 when x = 3:

0 = m(3) - 2

This latter result must be solved for m:  3m = 2, or m = 2/3.

Then the desired equation is y = (2/3)x - 2.


Related Questions

What is the 37th term of the arithmetic sequence with the first term -39 and the common difference of 8.

Answers

Answer:

[tex]a_{37}=249[/tex]

Step-by-step explanation:

A sequence that has a common difference is an arithmetic sequence:

[tex]a_n=a_1+(n-1)d[/tex]

where aₙ is the nth term, n is the index, and d is the common difference.

In your question:

n = 37a₁ = -39d = 8

Plug those into the formula:

[tex]a_{37}=-39+(37-1)8[/tex]

Then solve:

[tex]a_{37}=-39+(36)8\\a_{37}=-39+288\\a_{37}=249[/tex]

PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE

Answers

Answer:

Parallel

Step-by-step explanation:

So if they have the same slope but different y-intercepts, it would be parallel because the slope stays the same so the line doent change, just the starting point

for example use the following equations

y = x + 2

y = x + 3

In the graph, these equations are parallel

Answer:

Neither

Step-by-step explanation:

Because the y intercepts, or the (point on the y axis) is different

May I please have brainliest?

Lim wrote several pairs of values that he thought were equivalent. Which of his equations is correct?




3/5 = 60%



0.06 = 60%



0.002 = 2%



1/4 = 75%

Answers

Answer:

I believe the correct answer would be A: 3/5 = 60

Step-by-step explanation:

Firstly, the second option is wrong because 0.06 would be 6 hundredths, so that is wrong, the third option would be incorrect because 0.002 would equal 2 thousandths so that is also wrong, and the fourth option would be 25% instead of 75%, so your answer should be A.

8x^2x WHATS THE STANDARD FORM WHATS THE COEFFICIENT QUICKLY PLSS

Answers

8x3 answer correct good.

A Dog’s grew 2 1/2 inches in 12 1/2 weeks.How long will the hair grow in 1 week

Answers

Using the principle of proportional relationship, the length of hair grown by the dog in 1 week would be 0.2 inches

Setting up the relationship thus :

12.5 weeks = 2.5 inches

1 week = p inches

Cross multiply

12.5p = 2.5

Divide both sides by 12.5

p = 2.5 / 12.5

p = 0.2 inches

Hence, the length grown in 1 week is 0.2 inches

Learn more : https://brainly.com/question/25625086

Use substitution to solve the system. 5X+3Y=22 Y=2X-11

Answers

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.

We can solve this problem in two steps, Comprehending, and Solving/Checking our answers. I'll be starting off with Comprehending.

Comprehending

We can solve the problem with substitution by finding out what one variable is equal to in terms of the second variable.

This is what we would call System of Equations where we need to find the point where the lines hit.

We can do this either with Graphing, or Algebra. In this case, we need to use substitution, so it has to be Algebraically.

Now that we know how to solve it/what to do, we can start solving.

Solving

We can solve the problem by first replacing y with its correct value in terms of x. Since we know the two equations, we can begin solving.

[tex]y=2x-11\\5x+3y=22[/tex]

We can solve it by inserting our y value into the y value of the second equation.

[tex]5x+3(2x-11)=22\\5x+6x-33=22\\11x=22+33\\11x=55\\x=5[/tex]

Now that we know our x value, we can solve for y by inserting it into an equation.

[tex]y=2(5)-11\\y=10-11\\y=-1[/tex]

Now that we have solved, we have gotten out point of (5,-1)

We can test this by inputting it into an equation. (Any of the latter).

[tex]5(5)+3(-1)=22?\\25-3=22?\\22=22[/tex]

Now that we have checked our answer and it appears correct, we have gotten our answer of (5,-1).

Answer:

(5, - 1 )

Step-by-step explanation:

5x + 3y = 22 → (1)

y = 2x - 11 → (2)

Substitute y = 2x - 11 into (1)

5x + 3(2x - 11) = 22 ← distribute parenthesis and simplify left side

5x + 6x - 33 = 22

11x - 33 = 22 ( add 33 to both sides )

11x = 55 ( divide both sides by 11 )

x = 5

Substitute x = 5 into (2)

y = 2(5) - 11 = 10 - 11 = - 1

solution is (5, - 1 )

solve pls brainliest

Answers

Answer:

Step-by-step explanation:

x= cost per gallon

10x=23

x=2.3

2.3*15= 34.5

Answer the following problem using the SOLVE Method Math Club members are selling Math club members are selling Pi Day T-shirts for $7.50 each. The goal is to raise $500 by Friday. The figure below shows how much they have raised by Wednesday. What is the minimum number of T-shirts they must still sell in order to reach their goal? Explain your reasoning.

Answers

The minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts

Let x represent the number of Pi Day T-shirts sold.

They are selling Pi Day T-shirts for $7.50 each, So to raise $500:

7.5x > 500

Dividing through by 7.5:

7.5x / 7.5 > 500 / 7.5

x > 66.7

Hence, the minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts

Find out more at: https://brainly.com/question/25285332

48,000 is borrowed for 13 years. if the interest on the loan is 56,703.96, find the monthly payment

Answers

Answer:

130542

Step-by-step explanation:

FV=48000(2.7196)

FV=130542

HELPP it’s angles of a triangle much appreciated !

Answers

Answer:

The coastline of alaska is longer than the entire coastline of the lower forty-eight states

If the 10 musical acts for the winter show are randomly selected, what is the probability that
all of the electric acts get to play in the show?

Answers

Answer:1001

Step-by-step explanation:

How would you find the intercept for the equation y^2=2-3x-2x^2? I need the steps to understand

Answers

9514 1404 393

Answer:

x-intercepts: -2, +1/2y-intercepts: ±√2

Step-by-step explanation:

You always find the intercepts by setting the known coordinate to its known value and solving for the value of the unknown coordinate.

An x-intercept is always found on the line y=0. Setting y=0 and solving for x, we find ...

  0 = 2 -3x -2x^2

  x^2 +3/2x -1 = 0 . . . . . . . . . . . . . . . . divide by -2

  (x2^2 +3/2x +(3/4)^2) -1 -(3/4)^2 = 0 . . . . . complete the square

  (x +3/4)^2 = 25/16 . . . . . add 25/16 and write as a square

  x +3/4 = ±5/4 . . . . . . . take the square root

  x = -3/4 ±5/4 = -8/4, +2/4

The x-intercepts are -2 and +1/2.

__

A y-intercept is always found on the line x=0. Setting x=0 and solving for y, we find ...

  y^2 = 2 -0 -0

  y = ±√2

The y-intercepts are -√2 and +√2.

_____

A graphing calculator can give you a good idea of what the intercepts are.

15 metres at a speed of 20 cm/s (answer in seconds) a ​

Answers

Here's the perfect answer.

PLEASE MARK ME BRAINLIEST

help!!!


i will give a brainliest!!

Answers

Answer: is 1 and 3

Step-by-step explanation:

g(t) = (t-10) (t+1)
1) What are the zeros of the function?

Answers

Step-by-step explanation:

Write properties of function:

x intercept/zero: ; T1= -1 and T2=10

vertex form: g(t)=  (t-9/2)^2, (-121/4)

vertex: 9/2, 121/4

Explanation Write properties of function: Write properties of function:

x intercept/zero: ; t1=-1, and t2=10

vertex form: (t-9/2)^2, (-121/4)

vertex: 9/2, 121/4

hope this helped

use synthetic division to evaluate f(x)=x^3-6x+1 for x=6. f(6)=____​

Answers

Given: x=6

By substituting value of x as 6 in the given expression, we get:

[tex]f(6) = {x}^{3} - 6x + 1[/tex]

[tex]→f(6) = {6}^{3} + (6 \times 6) - 1[/tex]

[tex]→f(6) = 216 - 36 + 1[/tex]

Now, using integer sign property,

[tex]→f(6) = 216 - 35[/tex]

[tex]→f(6) = 181[/tex]

Therefore, f(6)=181

Hey can you check the problems I have done and explain the ones I don't​

Answers

i cant see very clearly the paper, however here is everything i can see and how i think they should be solved:

what is the answer to this question
6(3/4 + 2/3) - 4(1/6 + 1/2)

Answers

Answer:

5.83333333333

Step-by-step explanation:  there you go

How long does it take the ball to hit the ground when dropped from 50ft.?

Answers

I hope it's about 1.8 sec

20 POINTS !!

x^2+y^2+2x+2y=0

x^2+y^2+2x+6y+9=0 solve each system using substitution

Will mark brainlyest if steps are provided

Answers

Answer:

Step-by-step explanation:

x²+y²+2x+2y=0  ...(1)

x²+y²+2x+6y+9=0  ...(2)

subtract (1) from (2)

x²+y²+2x+6y+9-(x²+y²+2x+2y)=0

x²+y²+2x+6y+9-x²-y²-2x-2y=0

4y+9=0

4y=-9

[tex]y=-\frac{9}{4}[/tex]

put in (1)

[tex]x^{2} +(-\frac{9}{4} )^2+2x+2(-\frac{9}{4} )=0\\x^{2} +2x+\frac{81}{16} -\frac{9}{2} =0\\x^{2} +2x+\frac{81-72}{16} =0\\x^{2} +2x=-\frac{9}{16} \\adding 1 \\x^{2} +2x+1=-\frac{9}{16} +1\\(x+1)^2=\frac{-9+16}{16} \\x+1=\pm\sqrt{\frac{7}{16} } \\x=-1 \pm\frac{\sqrt{7} }{4} \\x=\frac{\sqrt{7} -4}{4} \\and\\x=\frac{-\sqrt{7} -4}{4}[/tex]

solution is ((√7-4)/4,-9/4)

and ((-√7-4)/4,-9/4)

Find the measures of angles 1 and 2.

Answers

Answer:

angle one:100 degrees

angle two:70 degrees

Step-by-step explanation: so angle two and the angle with 70 degrees are alternate angles, so they would be the same. at this point if you subtracted 70 from 180 because angle b is 180 degrees, you would get 110, so then you would have three angles, and it wouldn't be too hard to find the fourth, which is 100 degrees.

Two step equation, I don’t know how to do the problem step by step. 3x+9=5. I know that the answer is -1 1/3 but I don’t know how

Answers

Answer:

Below

Step-by-step explanation:

1. 3x+9=5

2.  3x+9-9=5-9

3. 3x=-4

5. 3x/3=-4/3

6. -4/3

7. -1 1/3

Answer:

The answer is -4/3 or - 1 1/3

Step-by-step explanation:

3x+9= 5

    -9    -9

3x = -4

 /3    /3

Y= -4/3 or [tex]-1\frac{1}{3}[/tex]

Step 1: Add subtract 9 to both sides because you want to cancel out the 9 so you do the opposite of what is say's. For example, if it says 3x-9 add 9 or 3x+9 subtract 9 from both sides.

Step 2: Add subtract 9 to 5 which would be -4. So you should have 3x= -4 now

Step 3: Since you're "multiplying" 3 to x you're going to divide 3 to get Y by itself. So 3/3 cancels out and now you're left with y

Step 4: Divide 3 from -4 and you get -4/3

Let me know if you have any questions and I hope this helps :)

a) 60 square meters in square centimeters.

Answers

Answer:

600,000 cm²

Step-by-step explanation:

We know the conversion from meters to centimeters to be

1 m = 100 cm.

We need the conversion factor from square meters to square centimeters.

Start with

1 m = 100 cm

Square both sides.

(1 m)² = (100 cm)²

1 m² = 10,000 cm²

Now that we have the correct conversion factor from m² to cm², we can do the conversion of 60 m² into cm².

60 m² × (10,000 cm²)/(1 m²) = 600,000 cm²

Find the equation of the line that passes through (-1,2) and is perpendicular to
y
=
1

2
x
.
Leave your answer in the form
y
=
m
x
+
c

Answers

Answer:

is the line are perpendicular then the product of there slope is -1

the slope of the first equation is 2

Step-by-step explanation:

m1+m2=-1

2+m2=-1

m2=-1-2

m2=-3

so the second equation became y=-3x+C

then insert the point (-1,2)

2=-3*-1+C

2=3+C

C=2-3

C=-1

so y=-3x-1

Hope that helps

Select the correct answer from each drop-down menu.
What is the distance and midpoint between points D and E on the number line?

Invention of the distance options
6.2, 2.6, 4.2, 0.6

Midpoint options 0.6, 0.3, 1.2, and 0.1

Answers

Answer:

4.2

0.6

Step-by-step explanation:

The distance and midpoint between points D and E on the number line 4.2 and 0.6

What does a midpoint mean?

Midpoint, as the word suggests, means the point which lies in the middle of something. Midpoint of a line segment means a point which lies in the mid of the given line segment.

We need to find the distance and midpoint between points D and E on the number line.

Invention of the distance options; 6.2, 2.6, 4.2, 0.6

Midpoint options 0.6, 0.3, 1.2, and 0.1

Here the distance between points D and E on the number line

= 4.2

Thus, the midpoint between points D and E on the number line = 0.6

Hence, the distance and midpoint between points D and E on the number line 4.2 and 0.6

Learn more about midpoint here;

https://brainly.com/question/5127660

#SPJ2

Find the reference angle for -369°
a.

c.
99°
b.
81°
d.
171°


Please select the best answer from the choices provided

A
B
C
D

Answers

my guess would be guess A

Answer:

A. 9

Step-by-step explanation:

What is the equation of the line that passes through the point (-2,-2) and has a slope of 4?

Answers

Answer:

y=4x+6

Step-by-step explanation:

if x/2=6.5 what is x

Answers

Answer: 13

Step-by-step explanation: 6.5 x 2=13

Answer:

x=13

Step-by-step explanation:

13/2=6.5

The athletic department raised $14,533 to buy new football uniforms if each uniform costs $258 how many uniforms can they buy

Answers

Answer:

56 uniforms

Step-by-step explanation:

Available amount = $14533Cost of each uniform = $258

Number of uniforms can be bought:

14533/258 = 56 (rounded down)

Amount to be spent:

56*258 = 14448

Remaining amount:

14533 - 14448 = 85

solve pls brainliest

Answers

Answer:

y = 13x

Step-by-step explanation:

Substitute 2 in x and you'll get 26:

y = 13•2

y = 26

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