Question

What is the slope of the line parallel to the line whose equation is given by $-y=-2x+4$?

Answer 1

The general equation of a line with slope $m$ is $y=mx+c$.

Consider the equation $-y=-2x+4$

By dividing the whole equation by $-1$ we get $y=2x-4$ and comparing it with the general equation $y=mx+c$,

Therefore, the slope of the line is $m=2$.

Since two parallel lines have equal slopes,

Hence, the slope of the line parallel to the line $-y=-2x+4$ is $2$.