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Does (2, –2) make the equation y = –9x true?

Question

Does (2, –2) make the equation y = –9x true?

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Solution

Step 1: Identify the given point and equation. The point is (2, -2) and the equation is y = -9x.

Step 2: Substitute the x and y values of the point into the equation. If the equation is true after the substitution, then the point lies on the line represented by the equation.

Substitute x = 2 and y = -2 into the equation:

-2 = -9(2)

Step 3: Simplify the right side of the equation:

-2 = -18

Step 4: Compare the two sides of the equation. If they are equal, then the point lies on the line. If they are not equal, then the point does not lie on the line.

In this case, -2 is not equal to -18. Therefore, the point (2, -2) does not make the equation y = -9x true.

This problem has been solved

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