Question

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

Answer 1

You can simply plug that point into the left side of the equation, and obtain \(3(4)-(-2)=?\), then solve to obtain the line \(3x-y=14.\)

Answer 2

Parallel lines have the same slope.
First solve for y here to get the slope.
y = 3x + 3
THe slope is 3.
y = 3x + b
Plug in the coordinate.
-2 = 3(4) + b
-2 = 12 + b
b = -14
y = 3x - 14