Which linear inequality models the graph of the solid line y=23x−3

Question

with a shaded region below the line?(1 point)
Responses

y<23x−3
y less than Start Fraction 2 over 3 End Fraction x minus 3

y≥23x−3
y greater-than-or-equal-to Start Fraction 2 over 3 End Fraction x minus 3

y≤23x−3
y less-than-or-equal-to Start Fraction 2 over 3 End Fraction x minus 3

y>23x−3

Answer 1

To model the graph of the solid line \( y = 23x - 3 \) with a shaded region below the line, we need to determine the correct inequality.

1. The graph has a solid line, which indicates that the points on the line itself are included in the solution. This means we should use either \( \leq \) or \( \geq \) in the inequality.

2. The shaded region is below the line, indicating that we are interested in values of \( y \) that are less than or equal to the line.

Based on these points, the correct inequality that models this situation is:

\[ y \leq 23x - 3 \]

Thus, the correct response is:

y ≤ 23x - 3