raph the inequality. y > –5x + 3 (1 point) Responses A dashed line passes through the points left-parenthesis 0 comma 3 right-parenthesis and left-parenthesis 1 comma negative 2 right-parenthesis. The region of the coordinate plane to the left of the dashed line is shaded. Image with alt text: A coordinate plane with a dashed boundary line, a y-intercept of 3, and a slope of negative 5. Shading is below the boundary line. A dashed line passes through the points left-parenthesis 0 comma 3 right-parenthesis and left-parenthesis 1 comma negative 2 right-parenthesis. The region of the coordinate plane to the left of the dashed line is shaded. A dashed line passes through the points left-parenthesis negative 1 comma negative 2 right-parenthesis and left-parenthesis 0 comma 3 right-parenthesis. The region of the coordinate plane to the right of the dashed line is shaded. Image with alt text: A coordinate plane with a dashed boundary line, a y-intercept of 3, and a slope of 5. Shading is below the boundary line. A dashed line passes through the points left-parenthesis negative 1 comma negative 2 right-parenthesis and left-parenthesis 0 comma 3 right-parenthesis. The region of the coordinate plane to the right of the dashed line is shaded. A dashed line passes through the points left-parenthesis negative 1 comma negative 2 right-parenthesis and left-parenthesis 0 comma 3 right-parenthesis. The region of the coordinate plane to the left of the dashed line is shaded. Image with alt text: A coordinate plane with a dashed boundary line, a y-intercept of 3, and a slope of 5. Shading is above the boundary line. A dashed line passes through the points left-parenthesis negative 1 comma negative 2 right-parenthesis and left-parenthesis 0 comma 3 right-parenthesis. The region of the coordinate plane to the left of the dashed line is shaded.

A dashed line passes through the points left-parenthesis 0 comma 3 right-parenthesis and left-parenthesis 1 comma negative 2 right-parenthesis. The region of the coordinate plane to the left of the dashed line is shaded.

A dashed line passes through the points (0, 3) and (1, -2). The region of the coordinate plane to the left of the dashed line is shaded.

To graph the inequality y > -5x + 3, you can follow these steps:

1. Start by graphing the boundary line y = -5x + 3. To do this, identify the y-intercept, which is the point (0, 3), and the slope, which is -5. With these two pieces of information, you can plot two points on the coordinate plane and draw a dashed line through them.

2. In this case, the boundary line is dashed because the inequality is greater than (>), which means it does not include the line itself.

3. Now, you need to determine which side of the line to shade. Since the inequality is y > -5x + 3, the shading should be above the line because the y-values are greater than the corresponding values on the line.

4. Shade the region above the dashed line to indicate the solution to the inequality.

So, the correct response is: A dashed line passes through the points (-1, -2) and (0, 3). The region of the coordinate plane above the dashed line is shaded.