The equation of a line is shown below.
y = fraction reading 1 over 5x - 9
What is the equation of a line which is perpendicular to this line and passes through (1, 58)?
y = 5x - 63
y = -5x + 63
y = 9x - 63
y = 9x + 63
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ganeshie8 (ganeshie8):
wats the slope of the GIVEN line ?
ganeshie8 (ganeshie8):
\(\large y = \frac{1}{5}x - 9\)
OpenStudy (lena772):
1/5
ganeshie8 (ganeshie8):
compare it wid
\\(\large y = mx + b\)
ganeshie8 (ganeshie8):
Yes, slope of given line is 1/5
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ganeshie8 (ganeshie8):
we want to find the slope of line thats perpendicular to this
ganeshie8 (ganeshie8):
u knw any relation between slopes,
when lines are perpendicular ?
OpenStudy (lena772):
The recipricol right?
OpenStudy (lena772):
negative recipricol
ganeshie8 (ganeshie8):
half correct
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ganeshie8 (ganeshie8):
yes! negative reciprocal !!
OpenStudy (lena772):
:)
ganeshie8 (ganeshie8):
so what will be the slope of the required line ?
OpenStudy (lena772):
So it's -1/(1/5)
ganeshie8 (ganeshie8):
simplify
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OpenStudy (lena772):
-1/0.2 = -5?
ganeshie8 (ganeshie8):
yup !
you knw slope \(-5\), and u knw a point \((1, 58)\)
ganeshie8 (ganeshie8):
can u write the equaiton of line ?
OpenStudy (lena772):
y=-5x+b
58=-5x+b
58=-5+b
63=b?
ganeshie8 (ganeshie8):
Awesome :)
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