Question

How to write the equation of the line that goes through (-2, -3) and (4, 9) answer in Slope–Intercept Form.

Answer 1

Answer: y= 2x + 1

Explanation:

Slope–Intercept Form is y= mx+b

To find the slope, we take the rise/run

We see that y increased by 12 and x increased by 6, so our slope is

12/6 = 2

Our y-intercept is located at ( 0, 1)

So our answer is y=2x + 1

Answer 2

Answer: y=2x+1

Explanation:

First, find the slope. 9+3/4+2=2, so m=2 (m stands for the slope in the slope-intercept form of y=mx+b)

So we have y=2x+b

Substitute one of the points into the equation to find b (the y-intercept)

I'll do (4,9) because it's easier

9=4x2+b

9=8+b

b=1

So your final answer is y=2x+1