Question

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

A) -2x + 3y > 7.
B) 2x - 3y <7.
C) -3x + 2y ≥ 7.
D) 3x - 2y ≤ 7. . s.

Answer 1

ion know if we have the same question because the graphs are different, but the choices are the same. i choose D (3x - 2y ≤ 7) and it's not right for my question. if you have the same question as me, don't pick D

Answer 2

Option D

`3x-2y\leq 7`

Explanation:

Let

`A(-3,-8),B(1,-2)`

Find the slope of the line

`m=(-2+8)/(1+3)`

`m=(3)/(2)`

Find the equation of the line

`y-y1=m(x-x1)`

`y+2=(3)/(2)(x-1)`

`y=(3)/(2)x-(3)/(2)-2`

`y=(3)/(2)x-(7)/(2)`

The solution is the shaded area above the solid line

so

The inequality is equal to

`y\geq (3)/(2)x-(7)/(2)`

Multiply by
`2` both sides

`2y\geq 3x-7\\ \\-3x+2y\geq -7`--------> multiply by
`-1`

`3x-2y\leq 7`