SOLUTION: 3x+4y=4 -8+6y=0 Give the slope of each line and then determine whether the two line parallel, perpendicular,or neither

Algebra ->  Linear-equations -> SOLUTION: 3x+4y=4 -8+6y=0 Give the slope of each line and then determine whether the two line parallel, perpendicular,or neither      Log On


   

Question 662747: 3x+4y=4
-8+6y=0
Give the slope of each line and then determine whether the two line parallel, perpendicular,or neither
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
slope-intercept form: y=mx%2Bb where m is a slope and b is y-intercept.
3x%2B4y=4
4y=-3x%2B4
y=-%283%2F4%29x%2B4%2F4
y=-%283%2F4%29x%2B1...so, the slope is m%5B1%5D=-%283%2F4%29 and y-intercept is
b=1

-8%2B6y=0
6y=0%2B8
6y=8
y=8%2F6
y=4%2F3.......so, the slope is m%5B2%5D=0 and y-intercept is
b=4%2F3

compare slopes: we have m%5B1%5D=-%283%2F4%29 and m%5B2%5D=0

m%5B1%5D%3C%3Em%5B2%5D

since parallel lines have same slope, and our slopes are not equal, means our lines are not parallel
since perpendicular lines have a slope that is the inverse and opposite of the line to which it is perpendicular, m%5B1%5D=-1%2Fm%5B2%5D and in our case it is -%283%2F4%29%3C%3E-1%2F0, means our lines are not perpendicular either
so, answer is: our lines are neither parallel nor perpendicular

let's see it on a graph:
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-%283%2F4%29x%2B1%2C4%2F3%29+