SOLUTION: find the equation for the line that passes through the point (-4,5) and that is parallel to the equation -3/2x-2y=11/2

Algebra ->  Linear-equations -> SOLUTION: find the equation for the line that passes through the point (-4,5) and that is parallel to the equation -3/2x-2y=11/2      Log On


   

Question 359612: find the equation for the line that passes through the point (-4,5) and that is parallel to the equation -3/2x-2y=11/2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Parallel lines have identical slopes.
m%5B1%5D=m%5B2%5D
Find the slope of the first line,
-%283%2F2%29x-2y=11%2F2
-2y=%283%2F2%29x%2B11%2F2
y=-%283%2F4%29x-%2811%2F4%29
.
.
.
m%5B1%5D=m%5B2%5D=-%283%2F4%29
Now use the point-slope form of a line,
y-y%5Bp%5D=m%28x-x%5Bp%5D%29
y-5=-%283%2F4%29%28x-%28-4%29%29
4y-20=-3%28x%2B4%29
4y-20=-3x-12
highlight%283x%2B4y=8%29