Final answer:
To find the value of a, we can use the slope formula and solve for a. The value of a is 6.
Step-by-step explanation:
To find the value of a, we can use the slope formula: m = (y2 - y1)/(x2 - x1).
Given the points (11,-2) and (3,6), we can calculate the slope between them as: m = (6 - (-2))/(3 - 11) = 8/(-8) = -1.
Let's substitute the value of the slope, m = -1, into the formula and solve for a: -1 = (6 - 3)/(3 - a).
Simplifying the equation: -1 = 3/(3 - a). Multiplying both sides by (3 - a): -1(3 - a) = 3. Expanding: -3 + a = 3. Adding 3 to both sides: a = 6.
Therefore, the value of a is 6.
Learn more about Slope formula and solving for a