Which inequality matches the graph? X, Y graph. X range is negative 10 to 10, and y range is negative 10 to 10. Dotted line on graph has positive slope and runs through negative 3, negative 8 and 1, negative 2 and 9, 10. Above line is shaded.

−2x + 3y > 7
2x + 3y < 7
−3x + 2y > 7
3x − 2y < 7

Given:

The dotted boundary line passes through the points (-3,-8), (1,-2) and (9,10).

Above line is shaded.

To find:

The inequality for the given graph.

Solution:

Consider any two points on the line. Let the two points are (1,-2) and (9,10). So, the equation of the line is:

Multiply both sides by 2.

Above line is shaded and the boundary line is a dotted line. So, the sign of inequality must be >.

This inequality is not in the equations. So, multiply both sides by -1 and change the inequality sign.

Therefore, the correct option is D.

step-by-step explanation:

1. 34

2. 268

3. x=14.4

step-by-step explanation: