+0  
 
0
102
1
avatar+186 

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.

 Jul 9, 2020
 #1
avatar+782 
+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.

 Jul 9, 2020

25 Online Users

avatar
avatar