Question

Write the equation of the line that is parallel to the line y=−74x−2 through the point (4,-2).

Answer 1

Parallel lines have the same slope, so since the slope of the given line is -74, the slope of the line we want to find is also -74.

Substituting into point-slope form,

`y+2=-74(x-4)\\\\y+2=-74x+296\\\\\boxed{y=-74x+294}`