Mathematics
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OpenStudy (anonymous):
what is the slope of a line perpendicular to x-y=16
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OpenStudy (jdoe0001):
what's the slope of x-y=16?
OpenStudy (anonymous):
idk
OpenStudy (jdoe0001):
well, solve for "y", what do you get?
jimthompson5910 (jim_thompson5910):
solve for y to get
x-y=16
-y=16 - x
-1*(-y)=-1*(16 - x)
y = -16 + x
y = x - 16
what is the slope of this line?
OpenStudy (anonymous):
1
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OpenStudy (anonymous):
?
jimthompson5910 (jim_thompson5910):
correct, the slope is 1
jimthompson5910 (jim_thompson5910):
1 = 1/1
so what you do is you flip the fraction and you flip the sign to get -1/1 = -1
jimthompson5910 (jim_thompson5910):
therefore, the perpendicular slope is -1
OpenStudy (anonymous):
ok what is the slope of a line perpendicular to x-y=16
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jimthompson5910 (jim_thompson5910):
-1, I just wrote it above
jimthompson5910 (jim_thompson5910):
and all the steps are above as well
OpenStudy (anonymous):
wrong ? sorry hold on
jimthompson5910 (jim_thompson5910):
well it's -1, there must be a typo somewhere
OpenStudy (anonymous):
what is y=-2/3x+4 in standard form
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jimthompson5910 (jim_thompson5910):
I'll start you off
y=-2/3x+4
3y=-2x+12 .. multiply EVERY term by the LCD 3 to clear out the fraction
I'll let you take over
OpenStudy (anonymous):
well 3y/3 is y and -2/3 is -0.66 and 12/3 is 4
OpenStudy (anonymous):
is that right
jimthompson5910 (jim_thompson5910):
here, you add 2x to both sides to get this
3y=-2x+12
3y+2x = 12
2x + 3y = 12
jimthompson5910 (jim_thompson5910):
so y=-2/3x+4 in standard form is
2x + 3y = 12
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OpenStudy (anonymous):
o thanks so much
jimthompson5910 (jim_thompson5910):
yw