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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 1, 2020
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We write Line 1 in slope intercept form. 

 

3x+4y=-14

4y=-3y-14

y=-3/4x-14/4

 

The slope of line 2 must be 4/3. So we currently have y=4/3x+b. We plug in the given point (-5, 7) to find b.

 

y=4/3x+b

7=4/3(-5)+b

7=-20/3+b

b=41/3.

 

The equation of line 2 is y=4/3x+41/3. m is 4/3 and b is 41/3. Therefore m+b=4/3+41/3=45/3=15.

 Jul 1, 2020

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