SOLUTION: Find the equation of the line through the given points. (-6, -3) and (3, -6)

Algebra ->  Linear-equations -> SOLUTION: Find the equation of the line through the given points. (-6, -3) and (3, -6)       Log On


   

Question 346924: Find the equation of the line through the given points.
(-6, -3) and (3, -6)
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
*Hint: First Use the point-slope formula:
%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29+=+m
to determine the slope of the line
.
(-6, -3) and (3, -6)
%28-6+-+%28-3%29%29%2F%283+-+%28-6%29%29+=+m
%28-3%2F9%29+=+m
%28-1%2F3%29+=+m
.
Then use standard slope-intercept equation of a line:
y = m*x + b
y+=+%28-1%2F3%29x+%2B+b
.
Substitute one of the points to find "b"
(3, -6)
-6+=+%28-1%2F3%293+%2B+b
-5=+b
.
y+=+%28-1%2F3%29%2Ax+%2B%28-5%29
y+=+%28-1%2F3%29%2Ax+-5