Answer:
We can use the slope formula to find the value of j. The slope formula is:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) = (-9, -5) and (x2, y2) = (j, 3). We are given that the slope is 8/7, so we can substitute these values into the slope formula and solve for j:
8/7 = (3 - (-5)) / (j - (-9))
8/7 = 8 / (j + 9)
8(j + 9) = 7(8)
8j + 72 = 56
8j = -16
j = -2
Therefore, the value of j is -2.