Question

Write the equation of the line in slope-intercept form that is parallel given the equation and point.

Answer 1

Answer:

$y = \frac{4x}{5}+\frac{42}{5}$

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 $b$ in the (slope-intercept form) equation $y = mx + b$

$2 = \frac{4}{5}(-8) + b\\2 = \frac{-32}{5}+b\\b = 2 + \frac{32}{5}\\ b = \frac{42}{5}$

$y = \frac{4x}{5}+\frac{42}{5}$