Question

Write an equation in slope-intercept form (y=mx+b) for the line that passes through the given points.

(5,-2) (-16,4)

Answer 1

y=-2/7x-4/7

Explanation:

m=(y2-y1)/(x2-x1)

m=(4-(-2))/(-16-5)

m=(4+2)/(-21)

m=6/-21

m=-6/21

y-y1=m(x-x1)

y-(-2)=-6/21(x-5)

y+2=-6/21x+30/21

y=-6/21x+30/21-2

y=-6/21x+30/21-42/21

y=-6/21x-12/21

simplify

y=-2/7x-4/7