Answer:
To solve this problem, we can use the formula for the slope of a line: slope = (y2 - y1)/(x2 - x1).
Plugging in the given values, we get: slope = (9 - v)/(-4 - (-7)).
We can simplify this to: slope = (9 - v)/3.
Since the slope is given as 6, we can set this expression equal to 6 and solve for v:
6 = (9 - v)/3
Multiplying both sides by 3 gives us: 18 = 9 - v
Adding v to both sides gives us: 18 + v = 9
Subtracting 9 from both sides gives us: v = 9 - 18
Finally, we can simplify this to: v = -9
So the value of v is -9.