1. What is the slope of a line parallel to -8x + y = 2?

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05-10-2021
Mathematics

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1. What is the slope of a line parallel to -8x + y = 2?

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Djtwinx017idn Djtwinx017idn · Answer 1 · 2021-10-05T13:23:06-04:00

Answer:

slope of the parallel line = 8

Step-by-step explanation:

Parallel lines have the same slope. To determine the equation of the other line, you need to transform the given linear equation into its slope-intercept form, y = mx + b:

-8x + y = 2

Add 8x to both sides to isolate y:

-8x + 8x + y = 8x + 2

y = 8x + 2 (this is the slope-intercept form where the slope (m) = 8, and the y-intercept (b) = 2).

Given that the slope of the first equation is 8, then we can assume that the slope of line parallel to -8x + y = 2 will also be 8.

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