write an equation of the line containing the given point and parallel to the given line. (-5,3); 9x=2y+3
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OpenStudy (anonymous):
parallel lines have same slope so y=mx+b then use point and slope to find b
OpenStudy (anonymous):
9x-3=2y
y=9/2 x - 3/2 so slope is 9/2
OpenStudy (anonymous):
plug in 9/2 and -5 for x and 3 for y and solve for b
OpenStudy (anonymous):
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yes
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OpenStudy (anonymous):
after i plug it in than what is next
OpenStudy (anonymous):
what did you get for b
OpenStudy (anonymous):
b=51/2 so 3=-45/2 + b add -45/2 to both sides and change 3 to 6/2 so you can add 45/2
y=9/2 x +51/2
OpenStudy (anonymous):
thank you
OpenStudy (anonymous):
welcome...fan me
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OpenStudy (anonymous):
I'm new to the site how do I do that
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click "Become a fan" in blue beside my name
OpenStudy (anonymous):
I'm new too so welcome
OpenStudy (anonymous):
do you have any more questions
OpenStudy (anonymous):
yes
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OpenStudy (anonymous):
(7,9); 2x+y=3
OpenStudy (anonymous):
checking to see if it is a solution?
OpenStudy (anonymous):
2(7) + 9 = 3
14+ 9 = 3 NOOOO so not a solution
OpenStudy (anonymous):
write an equation of the line containing the given point and parallel to the given line
(5,-5); 4x+3y=7
OpenStudy (anonymous):
transform to y=mx+b by subtracting 4x from bot h sides then divide both sides by 3 to get y =
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OpenStudy (anonymous):
do that first and tell me what you get
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
would it b 12
OpenStudy (anonymous):
y=-4/3x + 7/3 now plug in (-5,5) and slope = -4/3 into y=mx+b and solve for b
OpenStudy (anonymous):
(5, -5) sorry
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OpenStudy (anonymous):
-5=-4/3(5) + b
OpenStudy (anonymous):
(5, -5) sorry
OpenStudy (anonymous):
-5=(-4/3)(5)+b
OpenStudy (anonymous):
-5=-20/3 +b add 20/3 so 5 which is 15/3+20/3=35/3
OpenStudy (anonymous):
-15/3 + 20/3 = 5/3
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OpenStudy (anonymous):
b=5/3 same slope of -4/3 so y=-4/3x +5/3
OpenStudy (anonymous):
got it
OpenStudy (anonymous):
no
OpenStudy (anonymous):
what is wrong
OpenStudy (anonymous):
do you need me to put it all together in one post
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OpenStudy (anonymous):
please
OpenStudy (anonymous):
4x+3y=7 solve for y
-4x -4x
3y=7-4x or 3y=-4x+7
----------
3
y=-4/3 x + 7/3 so slope is -4/3 parallel lines have same slope so use
m=-4/3 and (5, -5) and plug into slope-intercept form to find "b"-y intercept
y=mx+b
-5=-4/3(5)+b
-5=-20/3 + b
+20/3 +20/3
-15/3 + 20/3 = b
5/3= b
so y=-4/3x + 5/3