Final answer:
The correct equation is y = -2x + 10, which has a slope of -2 and passes through the point (5,0), matching with option D.
Step-by-step explanation:
The question asks which equation has a slope of -2 and passes through the point (5,0). We are looking for the linear equation in the form y = mx + b, where m represents the slope and b represents the y-intercept. Since we have the slope m = -2 and the point (5,0), we can substitute these values into the equation to find b:
y = -2x + b
0 = -2(5) + b
0 = -10 + b
b = 10
Therefore, the correct equation is y = -2x + 10. This matches with option D.