SOLUTION: Write the equation of the line that contains (-4,-3) and is parallel to the line y=-1/2x.

Algebra ->  Linear-equations -> SOLUTION: Write the equation of the line that contains (-4,-3) and is parallel to the line y=-1/2x.      Log On


   

Question 250375: Write the equation of the line that contains (-4,-3) and is parallel to the line y=-1/2x.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Parallel lines have identical slopes.
y=-%281%2F2%29x
The slope for this line is
m=-1%2F2
Use the point-slope form of a line with point (-4, -3) and slope m=-(1/2):
y-yp=m%28x-xp%29
y-%28-3%29=-%281%2F2%29%28x-%28-3%29%29
y%2B3=-%281%2F2%29%28x%2B3%29
y%2B3=-%281%2F2%29%28x%29-%283%2F2%29
y=-%281%2F2%29%28x%29-%283%2F2%29-%286%2F2%29
y=-%281%2F2%29%28x%29-%289%2F2%29