The two lines y - ax = 2 and x + 23y = 138 are perpendicular. What is the value of a?

Guest Jan 4, 2020

#1**+1 **

If you put the line equations in the form y = mx + b the slope is m

First one y -ax =2

y = ax + 2 the slope of this line is 'a'

perpindicular slope will be - 1/a

Line 2 x + 23y = 138

23y = -x + 138 divide both sides by 23

y = -1/23 x + 6 slope is -1/23

for these lines to be perpindicular: - 1/a = -1/23 so a = 23

Here is a graph:

https://www.desmos.com/calculator/fqvxr43leu

ElectricPavlov Jan 4, 2020

#2**0 **

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