find an equation for the line that passes through the following points (1,-2) (-3,2)

Question

i have to find an equation for the line passing the points (1,-2) (-3,2)

Answer 1

Given points say (x1y1) = (1,-2)

(x2,y2) = (-3,2)

Slope of he line m = (2+2)/(-3-1)

= 4/-4

= - 1

Line equation is y-y1 = m(x-x1)

y+2 = -1(x-1)

y+2 = -x+1

Subtract 2 from each side.

y+2-2 = -x+1-2

Required line equation is y = -x-1