Find the equation of the line that passes through the point (-3, -8) with a slope of -5.
Write your answer in Slope-Intercept Form
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OpenStudy (ash2326):
Bailey I showed you this yesterday also!!
\[y=mx+c\]
m= slope
OpenStudy (anonymous):
so, is it y=-3/8x-5 ??
OpenStudy (ash2326):
no slope m=-5
OpenStudy (ash2326):
so \[y=-5x+c\]
plug in the points and find c
OpenStudy (anonymous):
y=-5x+-3/8 ?!
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OpenStudy (ash2326):
tracy please don't post answer, let her try:)
OpenStudy (ash2326):
no Bailey
Let me show you
OpenStudy (anonymous):
You know that X has to decrease by 5 every time Y goes up by 1, so try to find what Y is when X is equal to 0. Or you can draw a graph to find the intercept.
OpenStudy (ash2326):
we have
\[y=-5x+c\]
line passes through (-3, -8)
x=-3 , y=-8
so
\[-8=-5\times(-3) +c\]
find c and tell what it is?
OpenStudy (anonymous):
-3???
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OpenStudy (ash2326):
we have
\[-8=15+c\]
subract both sides by 15
\[-8-15=0+c\]
\[c=-23\]