SOLUTION: Find the equation of the line through the given points. (-3, 5) and (6, 2)

Algebra ->  Linear-equations -> SOLUTION: Find the equation of the line through the given points. (-3, 5) and (6, 2)       Log On


   

Question 346931: Find the equation of the line through the given points.
(-3, 5) and (6, 2)
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
.
(-3, 5) and (6, 2)
%282-+5%29%2F%286+-+%28-3%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"
(6, 2)
2+=+%28-1%2F3%296+%2B+b
4=+b
.
y+=+%28-1%2F3%29%2Ax+%2B4
y+=+%28-1%2F3%29%2Ax+%2B4