Answer:
Explanation:
The formula for calculating the slope of a line passing through two points (x1, y1) and (x2, y2) is given by:
Slope (m) = (y2 - y1) / (x2 - x1)
Given the points (-8, 3) and (6, q), and the slope m = -6/7, we can use the formula to solve for q:
m = (q - 3) / (6 - (-8))
-6/7 = (q - 3) / (6 + 8)
-6/7 = (q - 3) / 14
Now, cross-multiply to solve for q:
-6 * 14 = 7 * (q - 3)
-84 = 7q - 21
7q = -63
q = -63 / 7
q = -9
So, the value of q is -9.