SOLUTION: Indicate in standard form the equation of the line passing through the given points. E(-2, 2), F(5, 1) Please help!!

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Question 863789: Indicate in standard form the equation of the line passing through the given points.
E(-2, 2), F(5, 1)
Please help!!

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
The standard form for a line is y = mx + b, where m is the slope and b is the y intercept
m is defined as (y2 - y1) / (x2 - x1)
for our problem m = ( 1 - 2) / (5 - (-2)) = -1 / 7
y = -x/7 + b
now take point (-2, 2) and substitute in the equation above to find b
2 = -(-2)/7 + b
2 = 2/7 + b
b = 14/7 - 2/7 = 12/7
y = -x/7 + 12/7
here is a graph of the line
+graph%28+300%2C+200%2C+-15%2C+15%2C+-10%2C+10%2C+-x%2F7+%2B+12%2F7%29+