the line through A(-3,-2) and B(4,y) is perpendicular to a line with slope 7/3. find y

Question

A(-3,-2) and B(4,y) is perpendicular to a line 7/3. find y

Answer 1

slope = 7/3

perpendicular slope = -3/7

remember how slope = rise over run?  in equation form that's:

m = (y2 - y1) / (x2 - x1)

m is the slope

(x1,y1) is one point

(x2,y2) is the other point

so, plugging in numbers:

m = (y2 - y1) / (x2 - x1)

-3/7 = (y - -2) / (4 - -3)

-3/7 = (y + 2) / 7

-3 = y + 2

y = -5