SOLUTION: write the equations of the line passing through the point (2, 2) and perpendicular to the line whose equation is y = x. Complete your work in the space provided or upload a file th

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Question 970281: write the equations of the line passing through the point (2, 2) and perpendicular to the line whose equation is y = x. Complete your work in the space provided or upload a file that can display math symbols if your work requires it.
Found 3 solutions by Fombitz, stanbon, Boreal:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Perpendicular lines have slopes that are negative reciprocals.
m%2Am%5Bp%5D=-1
1%2Am%5Bp%5D=-1
m%5Bp%5D=-1
Use the point slope form of a line,
y-2=-1%28x-2%29
y-2=-x%2B2
highlight%28y=-x%2B4%29
.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
write the equations of the line passing through the point (2, 2) and perpendicular to the line whose equation is y = x. Complete your work in the space provided or upload a file that can display math symbols if your work requires it.
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The given equation has slope = 1
Any line perpendicular to it must have slope = -1
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Form:: y = mx + b
Solve for "b":
2 = -1*2 + b
b = 4
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Equation:
y = -x + 4
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Cheers,
Stan H.
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Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Lines that are perpendicular to one another have slope products=-1
y=x has a slope of 1
Therefore, the other line perpendicular to it has slope (-1)
Point slope formula
y-y1=(-1) (x-x1) ; the -1 slope is visible.
use the point (2,2)
y-2= (-1) (x-2)
y-2= -x +2 ; (-1) (-2) =+2
add 2 to both sides
y=-x +4
graph+%28300%2C200%2C-4%2C4%2C-4%2C4%2Cx%2C-x%2B4%29 The lines don't look exactly perpendicular, because the tick marks are not the same length on both axes.