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The points (2, -9) and 10, x) lie on the same line. if the slope of the line is -1, what is the value of x?

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Final answer:

To find the value of x when the slope of a line is -1 and two points are given, we can substitute the values into the slope formula and solve for x = -17

Step-by-step explanation:

To find the value of x, we can use the formula for the slope of a line, which is:

slope = (Y₂ - Y₁) / (X₂ - X₁)

Given that the slope of the line is -1 and the points (2, -9) and (10, x) lie on the same line, we can substitute the values into the formula to solve for x:

-1 = (x - (-9)) / (10 - 2)

By simplifying the equation, we get:

-1 = (x + 9) / 8

Multiplying both sides by 8, we have:

-8 = x + 9

Subtracting 9 from both sides, we find:

x = -17

User Peter Gordon
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