Question

identify an equation in point-slope form for the line parallel to y=1/2 x -7 that passes though (-3,-2) thank you :)

Answer 1

`y + 2 = (1)/(2)(x+3)`

Explanation:

Parallel lines have the same slope. So y = 1/2x - 7 has a slope of m = 1/2 and so will its parallel line.

Substitute m = 1/2 and (-3,-2) into the point slope form of the line.

`y - y_1 = m(x-x_1)\\y - -2 = (1)/(2)(x --3)\\y + 2 = (1)/(2)(x+3)\\`