SOLUTION: find an equation of the line passing through the points (2,3) and parallel to the line with equation 3x+4y-8=0

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Question 1129821: find an equation of the line passing through the points (2,3) and parallel to the line with equation 3x+4y-8=0
Found 3 solutions by stanbon, math_helper, josgarithmetic:
Answer by stanbon(75887) About Me  (Show Source):
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find an equation of the line passing through the points (2,3) and parallel to the line with equation 3x+4y-8=0
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slope of the given equation ?::
y = (-3/4)x + 2
slope = -3/4
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Find equation of line with slope = -3/4 passing thru (2,3).
y = mx+b
3 = (-3/4)*2 + b
b = 3+(3/2)
b = 9/2
Ans:: y = (-3/4)x+(9/2)
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Cheers,
Stan H.
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Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
find an equation of the line passing through the points (2,3) and parallel to the line with equation 3x+4y-8=0
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find an equation of the line passing through the matrix%281%2C2%2C%22point%22%2Ccross%28s%29%29+ (2,3) and parallel to the line with equation 3x+4y-8=0

4y = -3x + 8
y = -(3/4)x + 8 <— slope is -3/4, parallel line will have the same slope
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Equation of parallel line (I like slope intercept form so I will write it that way):
y - 3 = -(3/4)(x - 2)

+highlight%28+y+=+%28-3%2F4%29x+%2B+9%2F2%29+

Answer by josgarithmetic(39631) About Me  (Show Source):
You can put this solution on YOUR website!
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equation of the line passing through the points (2,3) and parallel to the line with equation 3x+4y-8=0
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The part, 3x+4y will stay the same, because, "parallel".

3x%2B4y=k
3x%2B4y=3%2A2%2B4%2A3
3x%2B4y=6%2B12=18
highlight%283x%2B4y-18=0%29