Question

the inequality, $y \leq 2$, will make what type of line?\
solid, vertical\
dashed, vertical\
solid, horizontal\
dashed, horizontal

Explanation:

Step1: Identify line orientation

Lines with the form $y = k$ (where $k$ is a constant) are horizontal, as they have a constant y-value for all x-values. Here, the boundary line is $y=2$, so it is horizontal.

Step2: Determine line style

Inequalities with $\leq$ or $\geq$ use solid lines, since the boundary line is included in the solution set. The given inequality is $y \leq 2$, so the line is solid.

Answer:

C. solid, horizontal