Question

Write an equation for a perpendicular to y = - 2 x 2 and passing through the point (-4,-5)
Y=

Answer 1

Hello!

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Perpendicular lines have slopes that are opposite reciprocals.

This means we take a number, flop it over, and change its sign.

So the slope of the given line is -2

Flop it over:

-1/2

Change its sign:

1/2

Now, let's write the equation in point-slope form:

y-y1=m(x-x1)

y-(-5)=1/2(x-(-4)

y+5=1/2(x+4)

y+5=1/2x+2

y=1/2x+2-5

`\bold{y=\displaystyle(1)/(2) x-3}}`

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Notes:-

• Hope everything's clear.
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• Enjoy your Day!

Answered by:-

~DnomaiD

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