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-or-equal-to 7 x minus 4

y>7x−4
y greater than 7 x minus 4

y≤7x−4
y less-than-or-equal-to 7 x minus 4

y<7x−4

Answer 1

To determine which linear inequality models the graph with the dotted line \( y = 7x - 4 \) and a shaded region above the line, we need to consider the characteristics of the line and the shaded region:

1. **Dotted Line**: A dotted (or dashed) line indicates that the line itself is not included in the solution. This means we cannot use a "greater than or equal to" (≥) or "less than or equal to" (≤) inequality; instead, we will use a strict inequality.

2. **Shaded Region Above the Line**: The fact that the shaded region is above the line indicates that we are looking for values where \( y \) is greater than \( 7x - 4 \).

Given these points, the correct inequality to model the graph is:

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

So the response is:
**y>7x−4**