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Point-slope equation for perpendicular lines y=-2x-7 that passes through (-2,-3)

1 Answer

8 votes

Answer: below! ^^

Explanation:

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Part 1 ⚜

Perpendicular lines have slopes that are opposite inverses of each other.

The slope (m) of the line that is perpendicular to y=-2x-7 is
\sf -\cfrac{1}{2}.

Part 2 ⚜

⚜ Point slope formula


\boldsymbol{y-y1=m(x-x1)}

⚜Stick in the known values


\boldsymbol{y-(-3)=-\cfrac{1}{2}(x-(-2)}

⚜ Simplify


\boldsymbol{y+3=-\cfrac{1}{2}(x+2)}

Voila! There's our answer, cheers! (:

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Hope I helped! Best wishes!

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User Randy James
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