Select the equation of the line that passes through the point (–2, 1) and has slope 3 in point-slope form.
A.
(y – 1) = 3(x + 2)
B.
(x + 2) = 3(y – 1)
C.
(x – 2) = 3(y + 1)
D.
(y + 1) = 3(x – 2)
@TheSmartOne @MW3030
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TheSmartOne (thesmartone):
ok, so what is point-slope form?
OpenStudy (anonymous):
y - y1 = m(x - x1)
TheSmartOne (thesmartone):
ok, and our slope is 3
plug that in place of m
OpenStudy (anonymous):
y - y1 = 3(x - x1)
TheSmartOne (thesmartone):
now our point is (-2,1)
so in place of y_1, we have to put the y value of the point. What is the y-value of the point (-2,1)
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OpenStudy (anonymous):
1?
TheSmartOne (thesmartone):
correct, so now we have
y - 1 = 3(x-x1)
OpenStudy (anonymous):
Okay
TheSmartOne (thesmartone):
now what is x_1 going to be?
OpenStudy (anonymous):
And then 2 would go in place of the x1 right?
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TheSmartOne (thesmartone):
-2** yup :)
OpenStudy (anonymous):
Awesome so it would be D?
TheSmartOne (thesmartone):
nope look at it carefully
TheSmartOne (thesmartone):
y - 1 = 3(x - (-2))
what is x - (-2) = ?
OpenStudy (anonymous):
x + 2
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