Question

Write the equation in slope-intercept form that contains the following two points.

(4, -1) (-2, 8)

Answer 1

y = -3/2 x +5

Explanation:

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

m= (8--1)/(-2-4)

m= (8+1)/(-2-4)

m= (9/-6)

m=-3/2

point slope form

y-y1=m(x-x1)

y--1 = -3/2(x-4)

distribute

y+1 = -3/2x +3/2 *4

y+1 = -3/2x + 6

subtract 1 from each side

y = -3/2 x +6-1

y = -3/2 x +5

this is in slope intercept form (y=mx+b)