Question

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 1

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)`.