Question

PLEASE HURRY!!Given the following graph of a system of inequalities, which statement below is true of the point(5,-5)?

Answer 1

The answer is D.

Answer 2

Answer with explanation:

Select two points on the line to find the equation of the line.

Taking two points ,(6,8) and (-3, -7) on the line.

→Equation of Line passing through two points
`(x_(1),y_(1)),(x_(2),y_(2))` is given by

`\rightarrow (y-y_(1))/(x-x_(1))=(y_(2)-y_(1))/(x_(2)-x_(1))\\\\\rightarrow (y-8)/(x-6)=(-7-8)/(-3-6)\\\\3y-24=5x-30\\\\5x-3y-6=0`

If you will write this in terms of inequality

5x-3y>6

→Second line passes through, (0,-4) and (9,-1).

Equation of this line will be

`(y-(-4))/(x-0)=(-1-(-4))/(9-0)\\\\9y+36=3x\\\\3x-9y-36=0\\\\x-3y-12=0`

If you will write this in terms of inequality,it will be

x-3y>12

Option A

It satisfy both the inequality and is part of solution set.