Answer:
[tex]y = \frac{4x}{5}+\frac{42}{5}[/tex]
Step-by-step explanation:
In order for two lines to be parallel, they must have the same slope. So, we know that the slope of the other line is 4/5.
We're given an ordered pair, so we can solve for [tex]b[/tex] in the (slope-intercept form) equation [tex]y = mx + b[/tex]
[tex]2 = \frac{4}{5}(-8) + b\\2 = \frac{-32}{5}+b\\b = 2 + \frac{32}{5}\\ b = \frac{42}{5}[/tex]
[tex]y = \frac{4x}{5}+\frac{42}{5}[/tex]
