Question

Urgent!!! What is the slope-intercept form of the equation of the line that passes through the points (2, 7) and (4, −1) ?

Answer 1

Use the rise over run formula to find the slope:


`(y2-y1)/(x2-x1)`


`(-1 - 7)/(4-2) = (-8)/(2) = -4`

Find the y-intercept of the line by multiplying the slope by the distance between x = 0 and a point. We'll use (2,7) to find the y-intercept.

0 - 2 = -2

-2(-4) + 7 = 15

The new point on the line is (0,15). Since x = 0, 15 is your y-intercept.

Plug in your slope and y-intercept into the equation:


`y = mx + b`

Answer:


`y = -4x + 15`