Question

A line passes through point (-2, 5) and has a slope of 5/2.

Write an equation in Ax + By = C form for this line.
Use integers for A, B, and C.

Answer 1

5x-2y=-20

Explanation:

y-y1=m(x-x1)

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

y-5=5/2(x+2)

y-5=5/2x+10/2

y-5=5/2x+5

y=5/2x+5+5

y=5/2x+10

y-5/2x=10

-5/2x+y=10

2(-5/2x+y)=2(10)

-10/2x+2y=20

-5x+2y=20

5x-2y=-20