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Write the point-slope form of an equation of the line that is perpendicular to the line between point A (-4,7) and point B (8,-1) that goes through (2,3)



Answer :

Medunno13

Answer: [tex]y-3=\frac{3}{2}(x-2)[/tex]

Step-by-step explanation:

The slope of AB is [tex]\frac{-1-7}{8-(-4)}=-\frac{2}{3}[/tex]

Perpendicular lines have slopes that are negative reciprocals, so the slope of the line we need to find is 3/2.

So, the equation is [tex]y-3=\frac{3}{2}(x-2)[/tex].

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