Which inequality matches the graph? X, Y graph. X range is negative 10 to 10, and Y range is negative 10 to 10. Dashed line on graph has positive slope and runs through negative 10, negative 9 and negative 1, negative 3 and 8, 3. Above line is shaded. −2x + 3y > 7 2x − 3y < 7 −3x + 2y ≥ 7 3x − 2y ≤ 7

Answer:The inequality that matches the graph is:                    [tex]2x-3y<7[/tex]Step-by-step explanation:It is given that the line is a dashed line.This means that the inequality is strict.Also, the dashed line passes through (-10,-9) and (-1,-3) and (8,3)Using two point formula we may find the equation of the line.i.e. any line passing through two points (a,b) and (c,d) is calculated by using the equation:[tex]y-b=\dfrac{d-b}{c-a}\times (x-a)[/tex]Here (a,b)=(-10,-9) and (c,d)=(-1,-3)The equation of line is:[tex]y-(-9)=\dfrac{-3-(-9)}{-1-(-10)}\times (x-(-10))\\\\i.e.\\\\y+9=\dfrac{-3+9}{-1+10}\times (x+10)\\\\i.e.\\\\y+9=\dfrac{6}{9}\times (x+10)\\\\i.e.\\\\y+9=\dfrac{2}{3}\times (x+10)\\\\3(y+9)=2\times (x+10)\\\\3y+27=2x+20\\\\i.e.\\\\2x-3y=27-20\\\\i.e.\\\\2x-3y=7[/tex]Also, the shaded region is above the line.             Hence, the inequality is:                   [tex]2x-3y<7[/tex]