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Let line L_1 be the graph of 5x + 8y = -9. Line L_2 is perpendicular to line L_1 and passes through the point (10,-10). If line L_2 is the graph of the equation y=mx +b, then find m+b.

 Jun 27, 2021
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Rearranging line L_1 into intercept form, 
y = -5/8x - 9/8

If line L_2 is perpendicular, it would have slope 8/5,
y = 8/5x + b
 

Plugging in (10, -10), 

-10 = 16 + b 

b = -26

 

Therefore m+b is 8/5 + (-26) = -24.4 or -24 2/5

 Jun 27, 2021

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