SOLUTION: What is the slope of the line that passes through (1,-3) and (-2,6)?

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Question 245648: What is the slope of the line that passes through (1,-3) and (-2,6)?
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
We have two points:
(1, -3) = (x1, y1)
(-2, 6) = (x2, y2)
.
m = change in y divided by change in x
m = (y2-y1)/(x2-x1)
m = (6-(-3)) / (-2-1)
m = 9 / -3
m = -3
.
y = mx + b
So we can find b using either if the given points.
-3 = -3(1) + b
b = 0
We can use the other point to check our value for b
6 = -3(-2) + b
b = 0
.
We can graph this:
graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C-3%2Ax%29
.
By inspection, we see the points are on the line.