Question

The equation of line g is y = -2x + 4. Parallel to line g is line h, which passes through the
point (4, -9). What is the equation of line h?

Answer 1

equation of line h is y=-2x-1

Slope is -2 (because it’s parallel)

so you have y=-2x+a

now you have to plug in the points it needs to pass through -9=-2(4)+a

do -2(4)

isolate a so then you would add the -8 to the other side

do the math of -9-(-8)

that’s how you get y=-2x-1