Answer: V=0
Step-by-step explanation: To find the value of v, we can use the formula for the slope of a line:
slope = (y2 - y1) / (x2 - x1)
Given that the slope is -8, and the two points are (4, v) and (3, 8), we can substitute the coordinates into the formula:
-8 = (8 - v) / (3 - 4)
Now we can solve for v by cross-multiplying:
-8 * (3 - 4) = 8 - v
-8 * -1 = 8 - v
8 = 8 - v
To isolate v, we subtract 8 from both sides of the equation:
8 - 8 = 8 - v - 8
0 = -v
Since -v is equal to 0, we know that v must be equal to 0 as well.
Therefore, the value of v is 0.