TheSenate66 TheSenate66

23-12-2020
Mathematics

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Describe the pair of equations. y = - 1/4x + 10 AND -2x + 8y = 6

Parallel
Perpendicular
Neither

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ChefTopeau ChefTopeau

23-12-2020

First of all, let's rearrange the second equation so that it comes in the slope-intercept form:

[tex]-2x + 8y = 6\iff x+4y=3 \iff y=-\dfrac{1}{4}x+\dfrac{3}{4}[/tex]

Now it becomes evident that the two lines have the same slope of -1/4. When two lines have the same slope, they are parallel.

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