Question 1021172
5x-4y=-12
5x+12=4y
(5/4)x+3=y
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y=(5/4)x+3 . The parallel line will have slope (5/4)
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Slope intercept form:
y=(5/4)x+b . Use given point to find b.
y=-2; x=-4
-2=(5/4)(-4)+b
-2=-5+b
3=b
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y=mx+b
y=(5/4)x+3 . This is the same as the original equation
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ANSWER: The original line goes through the given point