SOLUTION: please help me with this equation. If the lines represented by the equations 2y=3x+4 and y-ax-5=0 are parallel, What is the value of a?

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Question 12582: please help me with this equation. If the lines represented by the equations 2y=3x+4 and y-ax-5=0 are parallel, What is the value of a?
Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Remember: Parallel lines have equal slopes.
Get your equations into the slope-intercept form: m is the slope.
1)
Divide both sides by 2.
The slope, m is 3/2
2)
Add ax to both sides.
Add 5 to both sides.
Compare with: a = m
From the first equation, we had m = 3/2, and, because these lines are parallel, they have the same slope. Therefore, a = 3/2

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