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OpenStudy (anonymous):
What is the equation of the line that passes through (4, 2) and is parallel to 3x – 2y = –6? please anyone help me
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rishavraj (rishavraj):
if two lines are parallel ...it means their slopes are equal...so get the slope and apply
\[\frac{ y_2 - y_1 }{ x_2 - x_1 } = m\]
OpenStudy (anonymous):
Is the slope 3/2?
rishavraj (rishavraj):
yup :))
OpenStudy (anonymous):
so know what do I do? sorry for being so ignorant but this is kinda hard for me
rishavraj (rishavraj):
now just use the equation
\[\frac{ y_2 - y_1 }{ x_2 - x_1 } = m \]
plug values
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OpenStudy (anonymous):
But usnt that just to get the slope?
rishavraj (rishavraj):
nah u need to plug hmmmm like y_1 = 4 and y_2 = 2
so it would be
\[\frac{ y_2 - 2 }{ x_2 - 4 } = \frac{ 3 }{ 2 }\]
rishavraj (rishavraj):
get equation in y_2 and x_2
and then replace x_2 by x
and y_2 by y
OpenStudy (anonymous):
I got 3/2x-2
rishavraj (rishavraj):
nope @braandooll
first of all cross multiply
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OpenStudy (anonymous):
ohh so its Y=3/2x-4 huh?
rishavraj (rishavraj):
the equation is
\[\frac{ y - 2 }{ x - 4 } = \frac{ 3 }{ 2 } \]
so on cross multiplying
\[2y - 4 = 3x - 12\]
now proceed
OpenStudy (anonymous):
Thats why, i got....
y=3/2x-4 again
rishavraj (rishavraj):
|dw:1431285170036:dw|
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