SOLUTION: Write the equation of the line L that has y-intercept (0,-3) and is parallel to the line with equation y=2/3x+1.

Algebra ->  Linear-equations -> SOLUTION: Write the equation of the line L that has y-intercept (0,-3) and is parallel to the line with equation y=2/3x+1.      Log On


   

Question 106089: Write the equation of the line L that has y-intercept (0,-3) and is parallel to the line with equation y=2/3x+1.
Found 2 solutions by stanbon, Fombitz:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Write the equation of the line L that has y-intercept (0,-3) and is parallel to the line with equation y=(2/3)x+1.
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Parallel to that line means the slope is (2/3)
so you have the slope = 2/3 and the y-intercept = -3
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EQUATION:
y = (2/3)x -3
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Cheers,
Stan H.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Parallel lines have identical slope.
Using the slope intercept of a line, your line is,
y=mx%2Bb
y=%282%2F3%29x%2Bb
Use your point (0,-3) to solve for b.
-3=%282%2F3%29%280%29%2Bb
b=-3
Your equation is therefore,
y=%282%2F3%29x-3
+graph%28+300%2C+200%2C+-5%2C+5%2C+-5%2C+5%2C%282%2F3%29x%2B1%2C%282%2F3%29x-3%29+