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OpenStudy (trantom):
Is there a specific question? or do you just want an explanation of slope
OpenStudy (anonymous):
Which of the following have a slope of 5 and a y-intercept of-3
OpenStudy (anonymous):
A.y=-5x-3
B. y=-5x+3
C. y=5x+3
D. y=5x-3
OpenStudy (anonymous):
those lines are all in slope-intercept form, that is\[y=mx+b\] where m is the slope, and b is the y-intercept (that's why it's called slope-intercept form! :D)
OpenStudy (trantom):
Do you know how to find slope from an equation?
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OpenStudy (anonymous):
Yes but they have to have a slope pf 5 and a y-ontercept of -3
OpenStudy (anonymous):
Not really
OpenStudy (trantom):
Which one has 5 as m and -3 as b in y=mx+b?
Remember that something + a negative is just like subtracting that number. So, x+ (-y) is the same as x-y
OpenStudy (trantom):
(in y=mx+b form)
OpenStudy (anonymous):
I would think D. but I'm guessing
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OpenStudy (trantom):
Why D?
OpenStudy (anonymous):
why guess? You're asked for the slope-intercept form for a line with slope 5, y-intercept -3.
\[m=5\] \[b=-3\] \[y=mx+b\]
Just substitute
OpenStudy (anonymous):
So c?
OpenStudy (anonymous):
Just by plugging in
OpenStudy (anonymous):
are you guessing? or did you substitute?
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OpenStudy (trantom):
Remember what I said earlier? Adding a negative is the same as subtracting
OpenStudy (anonymous):
Well y=mx+b so
you just put in 5 and 3 for m and b?
OpenStudy (anonymous):
the y-intercept isn't 3
OpenStudy (trantom):
so if you are adding -3, its like subtracting 3!
OpenStudy (trantom):
:D
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OpenStudy (anonymous):
Then what is it?
OpenStudy (anonymous):
the question tells you what the y-intercept is
OpenStudy (anonymous):
Its -3
OpenStudy (anonymous):
yes. substitute that for b in the slope-intercept equation
OpenStudy (trantom):
so in y-mx+b since it is NEGATIVE 3, its really y=mx-3, see?
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