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

Answer:

Option D

$3x-2y\leq 7$

Step-by-step explanation:

Let

$A(-3,-8),B(1,-2)$  

Find the slope of the line

$m=\frac{-2+8}{1+3}$

$m=\frac{3}{2}$

Find the equation of the line

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

$y+2=\frac{3}{2}(x-1)$

$y=\frac{3}{2}x-\frac{3}{2}-2$

$y=\frac{3}{2}x-\frac{7}{2}$

The solution is the shaded area above the solid line

so

The inequality is equal to

$y\geq \frac{3}{2}x-\frac{7}{2}$

Multiply by $2$ both sides

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

$3x-2y\leq 7$

Answer 2

Answer:

the answer is D.

Step-by-step explanation: