Question

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

Answer 1

Answer:

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

$\rightarrow \frac{y-y_{1}}{x-x_{1}}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\rightarrow \frac{y-8}{x-6}=\frac{-7-8}{-3-6}\\\\3y-24=5x-30\\\\5x-3y-6=0$

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

$\frac{y-(-4)}{x-0}=\frac{-1-(-4)}{9-0}\\\\9y+36=3x\\\\3x-9y-36=0\\\\x-3y-12=0$

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.