Choose the point-slope form of the equation below that represents the line that passes through the points (−3, 2) and (2, 1).
y + 3 = −5(x − 2)
y − 2 = −5(x + 3)
y + 3 = −(x − 2)
y − 2 = −(x + 3)
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OpenStudy (blurbendy):
point slope form =
y - y1 = slope(x - x1)
OpenStudy (anonymous):
ok
OpenStudy (blurbendy):
i would recommend finding the slope first, given the two points you have
OpenStudy (anonymous):
which is - 1/5
OpenStudy (anonymous):
so its c but C is -1/5
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OpenStudy (blurbendy):
? your c just says -
OpenStudy (blurbendy):
not -1/5
OpenStudy (anonymous):
i know but that was a typo
OpenStudy (blurbendy):
what does d say then?
OpenStudy (anonymous):
C and D are both -1/5
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OpenStudy (anonymous):
the difference is D is +
OpenStudy (blurbendy):
okay, so now choose the first point, and substitute into the formula i gave you
OpenStudy (anonymous):
which turns into C :)
OpenStudy (blurbendy):
no, it turns into D
y1 = 2
x1 = -3
y - 2 = -1/5(x -(-3))
OpenStudy (blurbendy):
understand?
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OpenStudy (anonymous):
yes :) so c is correct. thank u :) mind helping with 2 more?
OpenStudy (anonymous):
i mean D
OpenStudy (blurbendy):
no, d is correct
OpenStudy (blurbendy):
good :)
OpenStudy (anonymous):
opps sorry meant D :)
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OpenStudy (anonymous):
so mind with 2 more?
OpenStudy (blurbendy):
ok
OpenStudy (anonymous):
Given the equation y − 3 = (x + 6) in point-slope form, identify the equation of the same line in slope-intercept form.
x − 2y = −12
y = 1/2x
y = 1/2x + 6
y = 1/2x + 9
OpenStudy (blurbendy):
slope intercept form =
y = mx + b
where m is the slope
OpenStudy (blurbendy):
did you forget to write the slope?
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OpenStudy (anonymous):
opps yes hold on
OpenStudy (anonymous):
slope is 1/2
OpenStudy (blurbendy):
okay, so put
y - 3 = 1/2(x + 6)
into y = mx + b form
(hint, first distribute the 1/2)
OpenStudy (anonymous):
so i got y-3 = 1/2x + 3
OpenStudy (blurbendy):
yup, keep going
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OpenStudy (anonymous):
so the answer would be C
OpenStudy (blurbendy):
oh, nevermind
OpenStudy (anonymous):
? is that correct?
OpenStudy (blurbendy):
you got it
OpenStudy (anonymous):
thxs! :) mind one more?
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OpenStudy (blurbendy):
sure
OpenStudy (anonymous):
Given the equation y − 4 =3/4 (x + 8) in point-slope form, identify the equation of the same line in standard form.
OpenStudy (blurbendy):
standard form =
Ax + By = C
OpenStudy (blurbendy):
start by distributing the 1/2 again
OpenStudy (anonymous):
−3/4x + y = 10
3x − 4y = −40
y = 3/4x + 12
y = 3/4x + 10
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OpenStudy (blurbendy):
i mean 3/4
OpenStudy (blurbendy):
not 1/2
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
so i got y-4 = 3/4x + 6
OpenStudy (blurbendy):
yes, and so we need it in the form:
Ax + By = C
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OpenStudy (anonymous):
y = 3/4x + 10?
OpenStudy (blurbendy):
no, we need x and y on the same side
OpenStudy (anonymous):
hmm
OpenStudy (anonymous):
-3/4x + y = 10?
OpenStudy (blurbendy):
perfect, just subtract the -3/4x
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OpenStudy (anonymous):
so that would be the answer?
OpenStudy (blurbendy):
yes
OpenStudy (anonymous):
thank you :)
OpenStudy (anonymous):
aww i got it wrong :(
OpenStudy (blurbendy):
-3/4x + y = 10 was wrong? i guess they wanted you to multiply the 4 out.... lame. the question should have specified that
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