Answer:
[tex]y = -\frac{1}{3}x - 5[/tex]
Step-by-step explanation:
To write the equation of a line use the point slope formula [tex]y - y_1 = m(x-x_1)[/tex]. Find m by using the slope formula with the points.
[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{1--3}{-5-7} =\frac{4}{-12} =-\frac{1}{3}[/tex]
Since the line is parallel, it will have the same slope.
Substitute m = -1/3 and (-3,-4).
[tex]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[/tex]
