Final answer:
The value of c is 8.
Step-by-step explanation:
To find the value of c, we can use the formula for the slope of a line:
slope = (y2 - y1) / (x2 - x1)
Plugging in the known values, we get:
9 = (8 - (-1)) / (9 - c)
Simplifying the equation:
9 = 9 / (9 - c)
Multiplying both sides by (9 - c), we have:
9(9 - c) = 9
Distributing the 9, we get:
81 - 9c = 9
Subtracting 81 from both sides:
-9c = -72
Dividing both sides by -9, we find that:
c = 8
Learn more about Finding the value of c in a line with a known slope and two points