Answer:
To find the value of w, you can use the slope formula:
slope = (y2 - y1) / (x2 - x1)
In this case, (x1, y1) = (-9, w) and (x2, y2) = (5, 9). Plugging these values into the formula gives:
slope = (9 - w) / (5 - (-9))
Simplifying this expression gives:
slope = (9 - w) / 14
Since the slope is 1, we can set this expression equal to 1 and solve for w:
1 = (9 - w) / 14
14 = 9 - w
w = 9 - 14
w = -5
Therefore, the value of w is -5.