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P.nut1996
 2 years ago
I have no idea how to do this
What is the equation of the line passing through (8, –6) and perpendicular to the line y = x – 2 in slopeintercept form?
P.nut1996
 2 years ago
I have no idea how to do this What is the equation of the line passing through (8, –6) and perpendicular to the line y = x – 2 in slopeintercept form?

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ambius
 2 years ago
Best ResponseYou've already chosen the best response.1We know that the slope of our original equation is 1. What we need is the equation of a line that is perpendicular to y = x  2. The "negative reciprocal" of the slope of our original equation of y=x2 can be determined by taking the original slope of: \[\frac{ 1 }{ 1}\] and then flipping the numerator and the denominator. The amazing thing is this still gives us 1. However, it is the "negative" reciprocal. So, we multiply by 1. so, the beginning of our new equation is: \[y = 1 x + b\] Then, sub in (8, 6) into your new equation: \[6=1(8) + b\] we find that after solving for b: b=2 and our final equation is: y=x+2

P.nut1996
 2 years ago
Best ResponseYou've already chosen the best response.0That was very helpful! Thank you so much!
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