Which of the following is an equation of a line that passes through the point (2,2) and is parallel to the graph of the equation y=3x-1

Question

A. y=3x+2

B y=3x-1

C y=3x-4

D y=3x+4

Answer 1

Use the equation:

(y-y1)=m(x-x1)

The slope of a parallel line is the same, so m=3

(2,2) is (x1,y1) Plug all these values in

(y-2)=3(x-2) Distribute

y-2=3x-6 Add 2 to both sides

y=3x-4 (Choice C)