SOLUTION: write the standard form of the equation of the line that passes through the given points. (2,-5), (8,1)

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Question 123319: write the standard form of the equation of the line that passes through the given points.
(2,-5), (8,1)
Answer by chitra(359) About Me  (Show Source):
You can put this solution on YOUR website!
Equation of the point passing through 2 points is given by:

%28y+-+y1%29%2F%28y2+-+y1%29 = %28x+-+x1%29%2F%28x2+-+x1%29+

The two points are: (2, -5) and (8, 1)

plugging in these points:

%28y+-+%28-5%29%29%2F%281+-+%28-5%29%29 = %28x+-+2%29%2F%288+-+2%29

%28y+%2B+5%29%2F%286%29 = %28x+-+2%29%2F%286%29

(y + 5) = (x - 2)

==> y = x - 2 - 5

==> y = x - 7

This in the standard form of the straight line y = mx + c

Where m = 1 and c = - 7

Thus, the solution.