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nikdorinn [45]
3 years ago
5

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

Mathematics
1 answer:
KiRa [710]3 years ago
4 0

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}

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