Question

The equation through the point (-2, 5) and is parallel to the line with the equation y=2x+7

Answer 1

If a line is parallel to y=2x+7 the line must have the same slope but different y- intercept. The equation y=2x+7 has a slope (m) of 2 and y- intercept of 7.

By using the point slope formula and the point (-2,5) we have:

$y = m(x -x1) + y1 \\ \\ y = 2(x - ( - 2)) + 5 \\ \\ y = 2(x + 2) + 5 \\ \\ y = 2x + 4 + 5 \\ \\ y = 2x + 9$