write the slope-intercept inequality of the line!!!
(6,3) (0,-1)
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OpenStudy (anonymous):
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OpenStudy (anonymous):
y=mx+b
OpenStudy (anonymous):
im confused...............the slope is -2/6 right?
OpenStudy (anonymous):
(6,3) (0,-1) need the slope, it is
\[\frac{3-(-1)}{6-0}=\frac{4}{6}=\frac{2}{3}\] then you know the y intercept is \((0,-1)\) so you can put in in slope intercept form right away
\[y=\frac{2}{3}x-1\]
OpenStudy (anonymous):
slope is positive
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OpenStudy (anonymous):
you have \((0,-1)\) and \((6,3)\) so 6 units right (from 0 to 6) and 4 units UP from -1 to 3
OpenStudy (anonymous):
isnt it 1-3/0-6?
OpenStudy (anonymous):
or use \[\frac{y_2-y_1}{x_2-x_1}\]
OpenStudy (anonymous):
slope is -4/-6
OpenStudy (anonymous):
you can do it that way, but your first coordinate is -1 not 1 right?
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OpenStudy (anonymous):
so confusing!!!
OpenStudy (anonymous):
\[\frac{-1-3}{0-6}=\frac{-4}{-6}=\frac{2}{3}\]
OpenStudy (anonymous):
what are your choices
OpenStudy (anonymous):
ok so if the slope is 2/3
OpenStudy (anonymous):
yes,
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OpenStudy (anonymous):
correct
OpenStudy (anonymous):
then what do i do after?
OpenStudy (anonymous):
y=2/3x+b
how do i get b?
OpenStudy (anonymous):
y=mx+b
OpenStudy (anonymous):
this line you wrote
isnt it 1-3/0-6? is wrong
it should be -1-3/0-6
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OpenStudy (anonymous):
what are your choices
OpenStudy (anonymous):
you are given b in the question. b is the y intercept, which is the second coordinate when \(x=0\)
OpenStudy (anonymous):
oh wait so
OpenStudy (anonymous):
y=2/3x+1?
OpenStudy (anonymous):
since you were given one point is \((0,-1)\) you know \(b=-1\)