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.

Filliqq Jul 9, 2020

#1**+3 **

Write 3x+4y=-14 in slope intercept form:

3x+4y=-14

4y=-3x-14

y=-3/4x-14/4

The line perpendicular to it must have slope of 4/3. So we have y=4/3x+b. We plug in the given point (-5, 7) to solve for b.

7=4/3(-5)+b

7=-20/3+b

b=41/3

m+b is 4/3+41/3=45/3=**15.**

gwenspooner85 Jul 9, 2020