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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)

1 Answer

6 votes

Answer:
y-3=(3)/(2)(x-2)

Explanation:

The slope of AB is
(-1-7)/(8-(-4))=-(2)/(3)

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
y-3=(3)/(2)(x-2).

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