Question

Which linear inequality models the graph of the solid line y=23x−3 with a shaded region below the line?(1 point)
Responses

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
y less than Start Fraction 2 over 3 End Fraction x minus 3

y>23x−3

Answer 1

To model the graph of a solid line given by the equation \( y = 23x - 3 \) with a shaded region below the line, you should use a less-than-or-equal-to inequality. The equation represents the boundary line, and since the region is shaded below this line, it indicates that the values of \( y \) are less than or equal to those described by the line.

Therefore, the correct inequality is:

**\( y \leq 23x - 3 \)**.