Question

1. $y < x$

graph
r of points:
s, and find the slope of the line:

Explanation:

Step1: Identify the boundary line

The inequality is \( y < x \), so the boundary line is \( y = x \). This is a straight line with a slope of 1 and y - intercept 0. Since the inequality is strict (\(<\)), the line should be dashed.

Step2: Determine the region

To find the region where \( y < x \), we can test a point not on the line, e.g., (0, 1). Plugging into \( y < x \), we get \( 1 < 0 \), which is false. So we shade the region where \( y \) values are less than \( x \) values, which is below the line \( y = x \).

Step3: Analyze the graph

Looking at the given graph, we identify the line \( y = x \) (slope 1, passes through origin) and check the shaded region. The correct graph for \( y < x \) should have a dashed line \( y = x \) and shading below it.

Answer:

The graph representing \( y < x \) has a dashed line \( y = x \) (slope 1, through (0,0)) and shading below the line. (If choosing the correct graph among the ones in the image, it's the line with slope 1, dashed, and shading below, likely the one passing through the origin with positive slope and dashed, with the region below shaded.)