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expeople1 [14]
3 years ago
13

What is the slope of a line perpendicular to 24x-9y=63

Mathematics
1 answer:
Gelneren [198K]3 years ago
3 0
In order to find the slop it is probably best to put the equation in y=mx+b form. This means to get y by itself on one side. 
24x-9y=63 will then become -9y=63-24x in which y has been isolated.
Then you should divided by -9 to get the final form: y=24x/9 -63/9.
 Now you can get the slope of the perpendicular line by taking the slope of the original equation and finding its reciprocal which is -9/24x. This is your answer. 
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Step-by-step explanation:

x and (3x + 10) combine to form a right angle, shown in the diagram by the small square joining the perpendicular lines.

Right angles are 90 degrees, so you can add both angles to get 90:

x + (3x + 10) = 90\\\\4x + 10 = 90\\\\4x = 80\\\\x = 20

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