SOLUTION: Find the equation of the line that passes through (5,2) and (7,-8)

Algebra ->  Graphs -> SOLUTION: Find the equation of the line that passes through (5,2) and (7,-8)      Log On


   

Question 1002453: Find the equation of the line that passes through (5,2) and (7,-8)
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) = (5, 2) and (x2, y2) = (7, -8).
Slope a is a+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+=+%28-8-2%29%2F%287-5%29+=+-5.
Intercept is found from equation a%2Ax%5B1%5D%2Bb+=+y%5B1%5D, or -5%2A5+%2Bb+=+27. From that,
intercept b is b=y%5B1%5D-a%2Ax%5B1%5D, or b=2--5%2A5+=+27.

y=(-5)x + (27)

Your graph:




so, your line is y=-5x+%2B+27