Answer:
v = 10
Step-by-step explanation:
Using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (10, v) and (x₂, y₂ ) = (6, 6)
m = [tex]\frac{6-v}{6-10}[/tex] = [tex]\frac{6-v}{-4}[/tex], equating gives
[tex]\frac{6-v}{-4}[/tex] = 1 ( multiply both sides by - 4 )
6 - v = - 4 ( subtract 6 from both sides )
- v = - 10 ( multiply both sides by - 1 )
v = 10
