# Math Help - Find the equation

1. ## Find the equation

Find the equation of a line that passes through the points (-2,4) and (3,7/2)

Find the equation of a line parallel to the line in the above problem that passes through (2,5)

2. Originally Posted by heatherblack87
Find the equation of a line that passes through the points (-2,4) and (3,7/2)

Find the equation of a line parallel to the line in the above problem that passes through (2,5)
y = mx + c. Get the gradient m using $m = \frac{y_2 - y_1}{x_2 - x_1}$. Then substitute (-2, 4) into y = mx + c and solve for c.

The parallel line has the same gradient m. Then substitute (2, 5) to get the value of c.