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The points (j, -1) and (7, 8) fall on a line with a slope of 9/10. What is the value of j?

The points (j, -1) and (7, 8) fall on a line with a slope of 9/10. What is the value of j?

Answer

The slope formula is m = (y2 - y1) / (x2 - x1). Here, m = 9/10, (x1, y1) = (j, -1), and (x2, y2) = (7, 8).

Substitute the values into the slope formula:

9/10 = (8 - (-1)) / (7 - j)

Simplify the equation:

9/10 = 9 / (7 - j)

Cross-multiply to solve for j:

9 * (7 - j) = 90

Expand and solve:

63 - 9j = 90

-9j = 90 - 63

-9j = 27

j = -3

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