SOLUTION: write an equation of the line parallel to the line given by -2x+3y=5 and having the same y intercept is the line given by 5x-4y=0

Algebra ->  Linear-equations -> SOLUTION: write an equation of the line parallel to the line given by -2x+3y=5 and having the same y intercept is the line given by 5x-4y=0      Log On


   

Question 1111899: write an equation of the line parallel to the line given by -2x+3y=5 and having the same y intercept is the line given by 5x-4y=0
Found 2 solutions by Alan3354, KMST:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
write an equation of the line parallel to the line given by -2x+3y=5 and having the same y intercept is the line given by 5x-4y=0
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Find the slope of -2x+3y=5, call it m.
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Parallel lines have the same slope.
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Find the y-int of 5x-4y=0, call it b.
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Then, y = mx + b

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
When the equation of a line can be solved for y ,
the resulting equation has the form y=mx%2Bb ,
with m and b being constants called slope and y-intercept respectively.
The form y=mx%2Bb of the many equivalent equations representing a line
is called the slope-intercept form.
The line given by 5x-4y=0 <--> y=%285%2F4%29x <--> y=%285%2F4%29x%2B0 has
slope m=5%2F4 and y-intercept b=0 .
The line given by -2x%2B3y=5 <--> 3y=2x%2B5 <--> y=%282%2F3%29x%2B5%2F3 has
slope m=2%2F3 and y-intercept b=5%2F3 .
Parallel lines have the same slope.
You are asking about a line with slope m=2%2F3 and y-intercept b=0 .
The equation for that line in slope-intercept form is
y=%282%2F3%29x%2B0 or simply highlight%28y=%282%2F3%29x%29 .