College algebra example

Question

Write an equation for the line that passes through (3,-2) and is Parallel to the line whose equation is y =2x+4 .

Answer 1

y+2 = 2(x-3) is the parallel line through (3,-2) in point slope form

or

y = 2x -8 in slope intercept form

2x-y = 8 in standard form

2x-y -8 = 0 in general form