Find an equation of the line passing through the pair of points. Write the equation in the form Ax +By = C. (-7,2), (-8,-3)

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  5x -y = -37

Step-by-step explanation:

One way to find the coefficients A and B is to use the differences of the x- and y-coordinates:

  A = Δy = y2 -y1 = 2 -(-3) = 5

  B = -Δx = -(x2 -x1) = -(-7 -(-8)) = -1

Then the constant C can be found using either point.

  5x -y = 5(-7) -2 = -37

The equation of the line is ...

  5x -y = -37

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Additional comment

This approach comes from the fact that the slope of a line is the same everywhere.

The "standard form" requires that A be positive, so we chose point 1 and point 2 to make sure that was the case.

111

step-by-step explanation:

answer: x=60