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Find the missing value using the slope and points m = 2/3 and (8, 4) (x, 8).

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Final answer:

To find the missing x-coordinate for the point (x, 8) on a line with a slope of 2/3 given another point (8, 4), a slope equation is used.

Step-by-step explanation:

To find the missing x-coordinate for the point (x, 8) on a line with a slope of 2/3 given another point (8, 4), we can use the slope formula, which is (m = (y2 - y1) / (x2 - x1)). With the slope m being 2/3 and our points being (8, 4) and (x, 8), we can set up the equation 2/3 = (8 - 4) / (x - 8).

Now we solve for x:

2/3 = 4 / (x - 8)

2/3 * (x - 8) = 4

x - 8 = 6

x = 14

Therefore, the missing x-coordinate for the point where the y-coordinate is 8 is 14.

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