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MAVERICK [17]
3 years ago
11

Give the slope of each line and then determine whether the two lines are parallel,perpendicular,or neither Parallel nor perpendi

cular 4x+5y=15
12x+15y=0
Mathematics
1 answer:
MAVERICK [17]3 years ago
7 0
First, put the equations into slope-intercept form(y = mx + b):
4x+5y=15\\5y=-4x+15\\y=\frac{-4}{5}x+3\\\\ 12x+15y=0 \\15y=-12x\\ y= \frac{-12}{15}x=\frac{-4}{5}x\\
y=\frac{-4}{5}x
Since slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept, the slope of the line(value of m) determines whether the lines are parallel or perpendicular.
Parallel lines have the same slope, and since \frac{-4}{5}=\frac{-4}{5}, the lines are parallel. Also, because the m's aren't the same, the lines aren't identical.

Your answer is parallel.
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