Question

Write an equation of the line parallel to y=3x−7 that passes through point (2, 4).

Answer 1

Parallel lines share the same slope. y=3x+7 has a slope of 3, so that is the slope of the parallel line. Then use y=mx+b an plug in (2,4).
y=3x+b
4=3(2)+b
4=6+b
b=-2

So the equation is y=3x-2