write an equation for a line parallel to and a line perpendicular to the given line.y = -2x + 5(make up points, they are not given)

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04-11-2022
Mathematics

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write an equation for a line parallel to and a line perpendicular to the given line.y = -2x + 5(make up points, they are not given)

Sagot :

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AileenR284502 AileenR284502 · Answer 1 · 2022-11-04T02:19:50-04:00

Answer:

Parallel: y = -2x + 9

Perpendicular: y = (1/2)x + 2

Explanation:

If we have an equation with the form y = mx + b. The value of m, the number beside the x, is the slope.

Then, 2 lines are parallel if they have the same slope. So, a parallel line to the given line is:

y = -2x + 9

On the other hand, two lines are perpendicular if the product of both slopes is equal to -1. So, the slope of the perpendicular equation is:

[tex]\begin{gathered} -2\cdot m=-1 \\ m=\frac{-1}{-2} \\ m=\frac{1}{2} \end{gathered}[/tex]

Then, a perpendicular line to the given line is:

y = (1/2)x + 2

Sagot :

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