The equation for line p can be written as y = 6/5 x + 5. Parallel to line p is line q , which passes through the point (10, 4) . What is the equation of line q ?

Answer 1

The line parallel to this one will have the same slope. In the equation provided, the slope, m=6/5. Then you can use the following equation. (y-y1)=m(x-x1)

Plug in the values of (x1,y1) using the point provided. (10,4)

(y-4)=6/5(x-10) Distribute

y-4=6/5x-12 Add 4 to both sides

y-4+4=6/5x-12+4 Simplify

y=6/5x-8