Mathematics
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OpenStudy (jessiegonzales):
MEDAL!!
Write an equation of the line, in point-slope form, that passes through the two given points.
(-2,15) (9,-18)
y-2=-3(x-15)
y-2=-1/3(x+15)
y-15=-3(x+2)
y-15=-1/3(x+2)
10 years ago
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OpenStudy (anonymous):
a) find the slope
what do you get?
10 years ago
OpenStudy (jessiegonzales):
ok so
15-18
-2-9
10 years ago
OpenStudy (anonymous):
oh no
10 years ago
OpenStudy (jessiegonzales):
-3/-11
10 years ago
OpenStudy (anonymous):
careful here
10 years ago
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OpenStudy (anonymous):
\[\huge \frac{\color{red}{y_2}-\color{green}{y_1}}{(\color{blue}{x_2}-\color{orange}{x_1})}\]
10 years ago
OpenStudy (anonymous):
\[\color{orange}{x_1}=\color{orange}{9}\]
\[\color{blue}{x_2}=\color{blue}{-2}\]
\[\color{green}{y_1}=\color{green}{15}\]
\[\color{red}{y_2}=\color{red}{-18}\]
10 years ago
OpenStudy (anonymous):
remember the sign comes with the number
10 years ago
OpenStudy (jessiegonzales):
7/-3
10 years ago
OpenStudy (anonymous):
so for example your numerator should be
\[15-(-18)\] not \[15-18\]
10 years ago
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OpenStudy (jessiegonzales):
oh
10 years ago
OpenStudy (anonymous):
and similarly, your denominator should be
\[-2-9\]
10 years ago
OpenStudy (jessiegonzales):
which is -7
10 years ago
OpenStudy (anonymous):
\[-2-9\neq -7\]
10 years ago
OpenStudy (anonymous):
\[2-9=-7\] but not \(-2-9\)
10 years ago
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OpenStudy (jessiegonzales):
oh I'm confused now
10 years ago
OpenStudy (anonymous):
i think the arithmetic is throwing you off
lets do the top first
what is
\[15-(-18)\]?
10 years ago
OpenStudy (anonymous):
if that is not clear, let me know and i will tell you
10 years ago
OpenStudy (jessiegonzales):
33
10 years ago
OpenStudy (anonymous):
yes ok good now on to the denominator
10 years ago
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OpenStudy (anonymous):
denominator is \[-2-9\]
10 years ago
OpenStudy (jessiegonzales):
ok
10 years ago
OpenStudy (anonymous):
do you know what that is
hint: it is NOT \(-7\)
10 years ago
OpenStudy (jessiegonzales):
-11
10 years ago
OpenStudy (jessiegonzales):
33/-11
10 years ago
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OpenStudy (anonymous):
whew got it
10 years ago
OpenStudy (anonymous):
right, and
\[\frac{33}{-11}=?\]
10 years ago
OpenStudy (jessiegonzales):
-1/3
10 years ago
OpenStudy (anonymous):
hmmm no
10 years ago
OpenStudy (jessiegonzales):
sorry -3
10 years ago
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OpenStudy (anonymous):
right
10 years ago
OpenStudy (jessiegonzales):
a is the answer
10 years ago
OpenStudy (anonymous):
oh no
10 years ago
OpenStudy (anonymous):
\[y-y_1=m(x-x_1)\] you have \(m=-3\)
10 years ago
OpenStudy (anonymous):
they are using the first point \((-2,15)\) for \((x_1,y_1)\)
10 years ago
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OpenStudy (jessiegonzales):
c is the answer
thankyou so much
10 years ago
OpenStudy (anonymous):
yw
10 years ago