SOLUTION: Find the equation of the line that is parallel to the line formed by the equation 3x + 2y = -20 and passes through the point (-24, 12).

Algebra ->  Linear-equations -> SOLUTION: Find the equation of the line that is parallel to the line formed by the equation 3x + 2y = -20 and passes through the point (-24, 12).      Log On


   

Question 361902: Find the equation of the line that is parallel to the line formed by the equation 3x + 2y = -20 and passes through the point (-24, 12).
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Find the equation of the line that is parallel to the line formed by the equation 3x + 2y = -20 and passes through the point (-24, 12).
//
3x + 2y = -20
add -3x
2y=-3x-20
/2
y=-3x/2-10
..
compare this equation with y=mx +b
m= slope = -3/2
..
Parallel line will also have same slope = -3/2
...
to find b
plug value of point (-24,12) & m
12=(-3/2)*-24 +b
12=36+b
add-36
12-36=b
b=-14
...
the required equation is y = (-3x/2)-14
..
graph%28300%2C300%2C-5%2C5%2C-15%2C15%2C%28%28-3x%2F2%29-14%29%2C%28%28-3x%2F2%29-10%29%29
..
m.ananth@hotmail.ca