Line 1 represents the graph of 3x+4y=-14. Line 2 passes through the point (5,7), and is perpendicular to line 1. If line 2 represents the graph of y=mx+b, then find m+b.
3x+4y=-14
is the same as y = -3/4 x - 14/4 slope, m = -3/4
perpindicular slope = - 1/m = 4/3
point slope form of new line thru 5,7
y-7 = 4/3 (x-5) re-arrange
y = 4/3 x - 20/3 + 7
take it from here......