SOLUTION: whats the equation for the line through (5,7),(6,8)?

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Question 668709: whats the equation for the line through (5,7),(6,8)?

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Solved by pluggable solver: FIND EQUATION of straight line given 2 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) = (5, 7) and (x2, y2) = (6, 8).
Slope a is a+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+=+%288-7%29%2F%286-5%29+=+1.
Intercept is found from equation a%2Ax%5B1%5D%2Bb+=+y%5B1%5D, or 1%2A5+%2Bb+=+2. From that,
intercept b is b=y%5B1%5D-a%2Ax%5B1%5D, or b=7-1%2A5+=+2.

y=(1)x + (2)

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