What type of slope does the boundary line of y ≤ 5 − x have?

Correct answer: Negative

To identify the slope, first replace the inequality by its boundary equation: y = 5 − x. Comparing it with slope-intercept form y = mx + c gives m = −1. Since the coefficient of x is negative, the line has a negative slope; as x increases by 1, y decreases by 1. Thus option B is correct. The inequality sign determines which side of the boundary is the solution region, but it does not change the slope of the boundary line. A positive slope would rise to the right, a zero slope would produce a horizontal line, and an undefined slope would produce a vertical line. This boundary instead falls from left to right.