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Let P and Q be constants. The graphs of the lines x + 5y = 7 and 18x + Py = Q are perpendicular and intersect at the point (-3,2). Enter the ordered pair (P,Q).

 Jun 30, 2020
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* ** edited ** *

 

 

18(-3) + p(2) = q

 

slope of first line is -1/5     to be perpindicular second line must be  5 

    soo   y = -18/p  x +q/p        - 18/p = 5

                                              -18/ 5 = p =  -3.6

Then using red equation   -54 + 2(-3.6) = q = -61.2

 

 

x + 5y =7

18x -3.6y = -61.2

 

Here is a graph:

https://www.desmos.com/calculator/ln3owxicev

 Jun 30, 2020
edited by ElectricPavlov  Jun 30, 2020
edited by ElectricPavlov  Jun 30, 2020

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