Question

equation of line a b is y equals 2x + 4 write an equation of a line parallel to line AB in slope intercept form that contains points (3,-2)​

Answer 1

`y = 2x - 8`

Explanation:

Parallel lines have the same slope. So since AB is 2x + 4 and has slope 2, the parallel line will have slope 2.

Substitute m = 2 and (3,-2) into the point slope form to find the line.

`y - y_1 = m(x-x_1)\\y - -2 = 2(x - 3)\\y + 2 = 2x - 6\\y = 2x - 8`