Final Answer:
The point on the line with the equation y = 0.5x - 1 is (-2, -2), therefore, option c) A point on the line is (-2, -2) is the correct choice.
Step-by-step explanation:
The equation y = 0.5x - 1 is in slope-intercept form (y = mx + b), where m represents the slope of the line and b represents the y-intercept. In this equation, the coefficient of x (0.5) represents the slope, indicating that for every unit increase in x, y increases by 0.5 units. The y-intercept, represented by the constant term (-1), is where the line intersects the y-axis.
To verify the point(s) on the line, substitute the x and y values given in each option into the equation y = 0.5x - 1. By substituting x = -2 into the equation, we get y = 0.5(-2) - 1 = -1 - 1 = -2. Therefore, when x = -2, y = -2, confirming that the point (-2, -2) lies on the line described by the equation y = 0.5x - 1.
This demonstrates that option c) A point on the line is (-2, -2) is accurate. Although options a), b), and d) contain points that could lie on various lines, the only point that satisfies the equation y = 0.5x - 1 is (-2, -2), confirming it as the correct point on the given line.