Question

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

Answer 1

Answer: below! ^^

Step-by-step 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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