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What is NOT a solution of the equation?: y = -1.5x - 4

A. (0, -4)
B. (-2, -1)
C. (2, -7)
D. (-5, 4)

1 answer

To determine which point is not a solution of the equation \( y = -1.5x - 4 \), we can substitute each point into the equation and see if the left side equals the right side.

  1. For point \( (0, -4) \): \[ y = -1.5(0) - 4 = -4 \] The point \( (0, -4) \) satisfies the equation.

  2. For point \( (-2, -1) \): \[ y = -1.5(-2) - 4 = 3 - 4 = -1 \] The point \( (-2, -1) \) satisfies the equation.

  3. For point \( (2, -7) \): \[ y = -1.5(2) - 4 = -3 - 4 = -7 \] The point \( (2, -7) \) satisfies the equation.

  4. For point \( (-5, 4) \): \[ y = -1.5(-5) - 4 = 7.5 - 4 = 3.5 \] The left side \( y = 4 \) does not equal the right side \( 3.5 \).

Thus, the point that is not a solution to the equation is \( D. (-5, 4) \).