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.