Question

Decide whether the point (3, -2) is a solution to y = 2x - 8.

Answer 1

The point (3, -2) is a solution to the equation y = 2x - 8 because substituting x = 3 into the equation yields y = -2, which matches the y-coordinate of the point.

Step-by-step explanation:

To determine whether the point (3, -2) is a solution to the equation y = 2x - 8, we need to substitute the x-value of the point into the equation and check if the corresponding y-value matches the one in the point.

1. Substitute x = 3 into the equation to get y = 2(3) - 8, which simplifies to y = 6 - 8.
2. Then, calculate y to get y = -2.
3. Compare this value to the y-value of the point. Since the calculated y-value is -2, which matches the y-value of the point in question, the point (3, -2) is indeed a solution to the equation.