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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.
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! 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
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