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slope between

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Recall the slope (m) when given two points, (x1, y1) and (x2, y2), is defined by the following formula:

     Slope =  m =  (y2 - y1) / (x2 - x1

You are given the following:

     m = 2

     (x1, y1) = (2, 1)

     (x2, y2) = (x, 9)

This means you are looking to solve for x2 in the slope formula. To do so, plug in the given values for slope and the two points into the formula:

     2 =  (9 - 1) / (x2 - 2)

     2 =  (8) / (x2 - 2)

After we cross multiply, we get the following:

     2·(x2 - 2) = 8

Now we divide both sides of this equation by 2:

     (2·(x- 2))/2 = 8/2

     x2 - 2 = 4

Adding 2 to both sides of the equation, we solve for x2 :

     x2 - 2 + 2 = 4 + 2

     x2 = 6

Thus, for the point (x, 9),  x = 6.

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