Final answer:
To find the value of s, use the formula for slope and solve for s. The value of s is 2.
Step-by-step explanation:
To find the value of s, we can use the formula for slope:
slope = (y2 - y1) / (x2 - x1)
Plugging in the values of the two points: (8, s) and (10, 10), we have:
4 = (10 - s) / (10 - 8)
Cross-multiplying:
4 * (10 - 8) = 10 - s
Simplifying:
8 = 10 - s
Subtracting 10 from both sides:
-2 = -s
Finally, multiplying both sides by -1 to solve for s:
s = 2