Question

Which is the graph of 2x – 4y > 6? On a coordinate plane, a dashed straight line with a positive slope goes through (negative 2, negative 2) and (1, 0). Everything to the right of the line is shaded. On a coordinate plane, a dashed straight line with positive slope goes through (negative 3, negative 3) and (3, 0). Everything to the left of the line is shaded. On a coordinate plane, a dashed straight line with a positive slope goes through (negative 2, negative 2) and (1, 0). Everything to the left of the line is shaded. On a coordinate plane, a dashed straight line with positive slope goes through (negative 3, negative 3) and (3, 0). Everything to the right of the line is shaded.

Answer 1

It's D

Explanation:

Answer 2

The correct graph for "2x - 4y > 6" is a dashed line with a positive slope through (-3, -3) and (3, 0), shading everything to the right of the line.

To determine the correct graph for the inequality "2x - 4y > 6," let's analyze the given scenarios.

Dashed Line with Positive Slope through (-2, -2) and (1, 0) - Shaded to the Right:

This line has a positive slope, and everything to the right is shaded. The inequality, "2x - 4y > 6," can be interpreted as "y < 1/2x - 3/2." The correct interpretation is that everything below the line is shaded. This doesn't match the given description, so this is not the correct graph.

Dashed Line with Positive Slope through (-3, -3) and (3, 0) - Shaded to the right:

This line also has a positive slope, and everything to the right is shaded. The inequality can be written as "y > 1/2x + 3/2." The correct interpretation is that everything above the line is shaded. This aligns with the given description, so this is the correct graph.

Therefore, the correct graph is the dashed line with a positive slope going through (-3, -3) and (3, 0), with everything to the right shaded.