SOLUTION: L has y-intercept (0, -3) and is parallel to the line with equation y = 2/3X+1. Write the equation of the line L satisfying the given geometric conditions. Thank you :)

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Question 57070: L has y-intercept (0, -3) and is parallel to the line with equation y = 2/3X+1.
Write the equation of the line L satisfying the given geometric conditions.
Thank you :)
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
L has y-intercept (0, -3) and is parallel to the line with equation y = 2/3X+1.
Write the equation of the line L satisfying the given geometric conditions.
:
The line that they gave you is in slope intercept form:highlight%28y=mx%2Bb%29, where m=slope and (0,b)=y-intercept.
The slope of the line they gave you is:y=highlight%28%282%2F3%29%29x%2B1, slope=m=2/3.
Parallel lines have the same slope, so the line you are writing the equation of has a slope of m=2/3 and a y-intercept of (0,b)=(0,-3)
Plug your values into the slope intercept form and you have the equation:
y=highlight%28%282%2F3%29%29x%2Bhighlight%28%28-3%29%29
highlight%28y=%282%2F3%29x-3%29
Happy Calculating!!!!