Question

Find the equation of the line that passes through the point (−3, −4) and is parallel to the line that passes through the points (−5, 1) and (7, −3).

Answer 1

Answer:

$y = -\frac{1}{3}x - 5$

Step-by-step explanation:

To write the equation of a line use the point slope formula $y - y_1 = m(x-x_1)$. Find m by using the slope formula with the points.

$m = \frac{y_2-y_1}{x_2-x_1} = \frac{1--3}{-5-7} =\frac{4}{-12} =-\frac{1}{3}$

Since the line is parallel, it will have the same slope.

Substitute m = -1/3 and (-3,-4).

$y --4 = -\frac{1}{3}(x --3)\\y + 4 = -\frac{1}{3}(x+3)\\y +4 = -\frac{1}{3}x - 1\\y = -\frac{1}{3}x - 5$