Final answer:
The correct statement about the equation m(x) = -22 - x + 6, which simplifies to m(x) = -x - 16, is that it represents a straight line with a negative slope.
Step-by-step explanation:
Given the equation m(x) = -22 - x + 6, we can simplify it to m(x) = -x - 16. The coefficient of x in the simplified equation is -1, which tells us the slope of the line. Since the slope is negative, the line will be slanting downwards as we move from left to right on the graph. Thus, the correct statement about this line is (a) It is a straight line with negative slope. The -16 represents the y-intercept, meaning the point at which the line crosses the y-axis. In this case, the y-intercept is a negative value, so the point lies below the origin on the y-axis.