Question

A line passes through point (-8,-2) and has a slope of -3/2. Write an equation in Ax+By=C form for this line. Use integers for A, B, and C.

Answer 1

A= 3/2, B = 1, C = -14

Explanation:

Using the point-slope form we can plug in your point and slope.

`y-y_1=m(x-x_1)`

`y-(-2)=-3/2(x-(-8))`

`y+2=-3/2(x+8)`

Distribute -3/2

`y+2=-3/2x-3/2*8`

`y+2=-3/2x-12`

Get y by itself by subtracting 2 to both side.

`y=-3/2x-14`

`3/2x+y=-14`

A = 3/2 , B = 1 , C= -14