SOLUTION: Please help me in solving this problem. I got the answer wrong on the most recent test. Give the equation of the line in standard form ax+by=c if you know that (2,-4) and (-2,6)

Question 133624: Please help me in solving this problem. I got the answer wrong on the most recent test. Give the equation of the line in standard form ax+by=c if you know that (2,-4) and (-2,6) are on the line. I appreciate your help.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Give the equation of the line in standard form ax+by=c if you know that
(2,-4) and (-2,6) are on the line.
------------------
slope = (6--4)/(-2-2) = 10/-4 = -5/2
-----------------
Form: y = mx + b
You know x,y, and m; solve for "b":
6 = (-5/2)(-2) + b
6 = 5 + b
b = 1
-------------
EQUATION:
y = (-5/2)x + 1
2y = -5x + 2
5x+2y = 2
===============
Cheers,
Stan H.
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