Question 454641
Find an equation for the line parallel to the line -3x+6y=-2 having the same y-intercept as 2x-7y=4. I need to know how to solve this problem step by step please. Not just the answer for each step, but how you came to those answers.
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-3x+6y=-2
rewrite to standard form:y=mx+b, m=slope, b=y-intercept
6y=3x-2
y=x/2-1/3
m=1/2, b=-1/3
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2x-7y=4
7y=2x-4
y=2x/7-4/7
m=2/7, b=-4/7
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Because new line is parallel to line of the first equation, it will have same slope as first equation, m=1/2
New line to have same y-intercept as second equation, b=-4/7
Equation of new line:
y=x/2-4/7