anonymous
  • anonymous
write an equation of the line containing the given point and parallel to the given line. (-5,3); 9x=2y+3
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
parallel lines have same slope so y=mx+b then use point and slope to find b
anonymous
  • anonymous
9x-3=2y y=9/2 x - 3/2 so slope is 9/2
anonymous
  • anonymous
plug in 9/2 and -5 for x and 3 for y and solve for b

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

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