SOLUTION: Find the equation of the line that passes through the points (0, 0) and (–3, 1).

Algebra ->  Linear-equations -> SOLUTION: Find the equation of the line that passes through the points (0, 0) and (–3, 1).      Log On


   

Question 346915: Find the equation of the line that passes through the points (0, 0) and (–3, 1).
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
*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
.
(0, 0) and (–3, 1)
%281+-+0%29%2F%28-3+-0%29+=+m
%281%2F-3%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"
(0, 0)
0=+%28-1%2F3%29%2A0+%2B+b
0=+b
.
y+=+%28-1%2F3%29%2Ax+