Write an equation of the line that passes through point p and is parallel to the line with the given equations > p(4,0), -x+2y=12

Question

P(4,0), -x+2y=12

Answer 1

parallel lines have the same slope

-x+2y=12

2y=x+12

y=(1/2)x+6

the slope is 1/2

using the point-slope form of a line...

y-y₁=m(x-x₁) where m is the slope and (x₁,y₁) is (4,0)

y-0=(1/2)(x-4)

y=(1/2)x-2 is the equation of the line

check: 0=(1/2)(4)-2

          0=2-2

          0=0