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Question 49068:
Determine the equation of the line through (0,9) that is parallel to the line
3x + 5y =15.
Answer by tutorcecilia(2152)   (Show Source):
You can put this solution on YOUR website! Re-write the first equation in slope-intercept format (y=mx+b):
3x + 5y =15
y = -3/5x -15/5
y = -3/5x + 3
The slope (m) = (-3/5)
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Since parallel lines have the same slope, the slope of the second line will also equal (-3/5).
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Use the slope-intercept formula to find the equation of the second line:
y = mx + b [Plug-in the values (0, 9) and the slope (-3/5).
9 = (-3/5)(0) + b [Solve for b]
9 = b.
So, the equation of the second line is:
y = (-3/5)x + 9
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