SOLUTION: : WRITE THE SLOPE-INTERCEPT FORM OF THE EQUATION OF THE LINE PERPENDICULAR TO Y=X-2 CONTAINING (3,5)

Question 575364: : WRITE THE SLOPE-INTERCEPT FORM OF THE EQUATION OF THE LINE PERPENDICULAR TO Y=X-2 CONTAINING (3,5)
Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
WRITE THE SLOPE-INTERCEPT FORM OF THE EQUATION OF THE LINE PERPENDICULAR TO
Y = X-2 CONTAINING (3,5)
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The given line has slope = 1.
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Any line perpendicular to y = x-2 must have slope = -1
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Equation Form:
y = mx + b
5 = -1*3 + b
b = 8
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Equation: y = -x+8
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Cheers,
Stan H.
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Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Why are you shouting? Typing in all caps is shouting -- it is both annoying and rude. Please don't apologize or make excuses for yourself; just stop doing it.

Perpendicular lines have negative reciprocal slopes. The equation that represents the given line is already in slope-intercept form, so you can determine the slope of the given line by inspection. Take the negative reciprocal of this slope to determine the slope of the desired line.

Use the point-slope form to write an initial form of the desired equation:

where are the coordinates of the given point and is the calculated slope.

Arrange the result into slope-intercept form:

John

My calculator said it, I believe it, that settles it

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