Determine if the point (4, −8)

lies on the line y=−2x−1
.

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To determine if the point (4,-8) lies on the line y = -2x - 1, we can substitute the x and y values of the point into the equation and see if they make the equation true.

For the point (4,-8):
x = 4, y = -8

Substituting these values into the equation:
-8 = -2(4) - 1

Simplifying:
-8 = -8 - 1
-8 = -9

The equation -8 = -9 is not true, so the point (4,-8) does not lie on the line y = -2x - 1.