Question

Write an equation in slope-intercept form for the line that passes through the given points.

(5, −2), (−16, 4)

A. y=−2/7x−4/7
B. y=2/7x−4/7
C. y=−2/7x+4/7
D. y=2/7x+4/7

Answer 1

First find the slope using (y1-y2)/(x1-x2)

(-2-4)/(5+16) = -6/21 or -2/7

Then plug in one of the points into y-y=m(x-x)

y + 2 = (-2/7)(x - 5)

Distribute the slope.

y + 2 = -2x/7 + 10/7

Subtract 2

y = -2x/7 - 4/7


So the answer is A.