Passing through 23 and parallel to the line whose equation i

Passing through (-2,3) and parallel to the line whose equation is y= -8x+2 What is the slope intercept form

Solution

given equation y= -8x+2

implies 8x+y-2=0.

the equation of the line passing through point(x₁,y₁) and parllel to ax+by+c = 0. is a(x-x₁)+b(y-y₁) = 0.

a = 8, b = 1.(x₁,y₁) = (-2,3)

implies 8(x+2)+1(y-3) = 0.

8x+y+16-3 = 0.

8x+y+13 = 0

therefore slope intercept form is y = -8x-13.