Mathematics
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OpenStudy (kendricklamar2014):
What is the slope of the line with equation 4x + 2y = 8?
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OpenStudy (kendricklamar2014):
A. -2
B. -0.5
C. 0.5
D. 2
OpenStudy (solomonzelman):
subtract 4x from both sides,
divide each term in the equation by 2.
what do you get after this?
OpenStudy (kendricklamar2014):
So it would be like this:
4x - 4x + 2y = 8 -4x
OpenStudy (alexandervonhumboldt2):
no need in thats
ax+by=c
-a/b is the slope
OpenStudy (kendricklamar2014):
8 - 4x = ? @SolomonZelman
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OpenStudy (solomonzelman):
yes, you would be getting,
2y=-4x+8.
then divide each term by 2.
OpenStudy (solomonzelman):
AlexandervonHumboldt2 , it is easier visually to do it in a slope intercept form.
OpenStudy (kendricklamar2014):
2y / 2 = -4x + 8/2
OpenStudy (alexandervonhumboldt2):
i know that
OpenStudy (kendricklamar2014):
= y = -4x + 4
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OpenStudy (solomonzelman):
2y/2 = -4x/2 + 8/2 like this
OpenStudy (solomonzelman):
you divide every term by 2.
OpenStudy (solomonzelman):
so what does THIS simplify to ?
OpenStudy (kendricklamar2014):
Im not sure??
OpenStudy (solomonzelman):
take a try
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OpenStudy (kendricklamar2014):
y = 0.5??
OpenStudy (solomonzelman):
2y divided by 2 is ?
OpenStudy (solomonzelman):
y.
OpenStudy (solomonzelman):
-4x divided by 2 is?
8 divided by 2 is ?
OpenStudy (kendricklamar2014):
-4x / 2 = -2x
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OpenStudy (kendricklamar2014):
8 / 2 = 4
OpenStudy (solomonzelman):
yes
OpenStudy (kendricklamar2014):
So now divide both sides by -2 right
OpenStudy (solomonzelman):
you already have:
2y+4x=8
2y+4x-4x=8-4x
2y=-4x+8
dividing each term by 2:
y=-2x+4
(I write it altogether, after we have divided each term separately)
OpenStudy (solomonzelman):
in a slope intercept form, y=mx+b , the slope is m.
You have:
y=-2x+8. What is the slope?
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OpenStudy (kendricklamar2014):
-2
OpenStudy (solomonzelman):
yes
OpenStudy (kendricklamar2014):
Thanks