You can use the slope formula to find the missing variable.
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
And plug in what you know into the equation.
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]\frac{1}{8}= \frac{4-w}{-10+6}[/tex]
[tex]\frac{1}{8}= \frac{4-w}{-4}[/tex] Multiply -4 on both sides
[tex]\frac{-4}{8}=4-w[/tex] Simplify -4/8, then subtract 4 on both sides
[tex]\frac{-1}{2} - 4 = -w[/tex] Make the denominators the same
[tex]\frac{-1}{2} - \frac{8}{2} = -w[/tex]
[tex]\frac{-9}{2}=-w[/tex] Multiply -1 on both sides
[tex]\frac{9}{2} =w[/tex]
Your answer is H
