Start of by setting up the slope formula:
[tex] \frac{y_2-y_1}{x_2-x_1} =slope[/tex]
We are given 2 coordinates and the slope
(-6,w)(-10,4)
slope:1/8
Label your coordinates:
(-6,w) and (-10,4)
x1,y1 x2-y2
Put these numbers into the formula
[tex] \frac{4-w}{-10-(-6)} = \frac{1}{8}[/tex]
Simplify the current info given:
[tex] \frac{4-w}{-4} = \frac{1}{8}[/tex]
Now you would be able to guess and check,
Final answer: w=9/2