Question

Which linear inequality models the graph of the dotted line y=7x−4
with a shaded region above the line?(1 point)
Responses

y>7x−4
y greater than 7 x minus 4

y<7x−4
y less than 7 x minus 4

y≥7x−4
y greater-than-or-equal-to 7 x minus 4

y≤7x−4

Answer 1

To model the graph described, which has a dotted line representing \( y = 7x - 4 \) and a shaded region above the line, we need to choose an inequality that indicates the values above the line.

The dotted line means that the line itself is not included in the solution. Therefore, we do not use "greater than or equal to" (≥) or "less than or equal to" (≤).

Since the shaded area is above the line, we use the "greater than" (>) inequality.

Thus, the correct linear inequality modeling the graph is:

**\( y > 7x - 4 \)**.