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A line has a slope of 9 and includes the points (c, −1) and (9, 8). What is the value of c?
C

User Mike Fahy
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1 Answer

7 votes

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

User Imricardoramos
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