SOLUTION: Find the slopes, if possible, of the line passing through each pair of points. (2, -1) and (6, 3)

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Question 772039: Find the slopes, if possible, of the line passing through each pair of points.
(2, -1) and (6, 3)
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Find the equation of line going through points
hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (2, -1) and (x2, y2) = (6, 3).
Slope a is a+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+=+%283--1%29%2F%286-2%29+=+1.
Intercept is found from equation a%2Ax%5B1%5D%2Bb+=+y%5B1%5D, or 1%2A2+%2Bb+=+-3. From that,
intercept b is b=y%5B1%5D-a%2Ax%5B1%5D, or b=-1-1%2A2+=+-3.

y=(1)x + (-3)

Your graph:




the slope of the line passing through points (2, -1) and (6, 3) is 1