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.

BertonCO5

BertonCO5

Answered question

2022-11-24

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

Answer & Explanation

Laylah Henry

Laylah Henry

Beginner2022-11-25Added 7 answers

Given that the graph runs through (-3, -8) and (1, -2) and (9, 10).
We find the equation of the graph by taking any two points from the graph.
y y 1 x x 1 = y 2 y 1 x 2 x 1 y ( 8 ) x ( 3 ) = 2 ( 8 ) 1 ( 3 ) = 2 + 8 1 + 3 = 6 4 = 3 2 y + 8 x + 3 = 3 2 2 ( y + 8 ) = 3 ( x + 3 ) 2 y + 16 = 3 x + 9 3 x 2 y = 7
Because, above the line is shaded, therefore, the correct inequality matching the graph is 3x - 2y < 7

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