SOLUTION: write an equation of the line parellel to the line given by 3x-4y=12 and having the same y-intercept as the line 5x+3y=6. I need all work shown to get the answer

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Question 1016687: write an equation of the line parellel to the line given by 3x-4y=12 and having the same y-intercept as the line 5x+3y=6. I need all work shown to get the answer
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
write an equation of the line parallel to the line given by 3x-4y=12
Parallel lines have the same slope, put the equation into slope intercept form
3x - 4y = 12
-4y = -3x + 12
y has to have a coefficient of 1 and be positive, divide equation by -4
y = x - 3
slope =
:
and having the same y-intercept as the line 5x+3y=6.
put equation into the slope/intercept form
5x + 3y = 6
3y = -5x + 6
divide equation by 3
y = x + 2
y intercept is 2
:
Write an equation with slope of 3/4 and an intercept of 2
y = x + 2