SOLUTION: Find the equation of the line with a slope of -1/2 and containing the point (-3, 2).

Algebra ->  Linear-equations -> SOLUTION: Find the equation of the line with a slope of -1/2 and containing the point (-3, 2).      Log On


   

Question 252225: Find the equation of the line with a slope of -1/2 and containing the point (-3, 2).
Found 2 solutions by prateek, MathTherapy:
Answer by prateek(6) About Me  (Show Source):
You can put this solution on YOUR website!
the equation of the line is ,
Y=MX
Y=y-(-3)=y+3
x=x-2
hence,y+3=m(x-2)
y+3=-1/2(x-2)
2y+6=-x+2
The eqation of the line is x+2y=-4

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
To easily get the equation, we simply use the point-slope formula, which is:
y+-+y%5B1%5D+=+m%28x+-+x%5B1%5D%29

Substituting the point (-3, 2), and the slope, -1%2F2, we get:

y+-+2+=+-%281%2F2%29%2A%28x+-+-+3%29

y+-+2+=+%28-1%2F2%29x+-+3%2F2

y+=+%28-1%2F2%29x+-+3%2F2+%2B+2

highlight_green%28y+=+%28-1%2F2%29x+%2B+1%2F2%29, or, highlight_green%28x+%2B+2y++=++1%29 (standard form, without fractions)