101k views
3 votes
Which inequality matches the graph? X, Y graph. X range is negative 10 to 10, and Y range is negative 10 to 10. Dashed line on graph has positive slope and runs through negative 10, negative 9 and negative 1, negative 3 and 8, 3. Above line is shaded. −2x + 3y > 7 2x − 3y < 7 −3x + 2y ≥ 7 3x − 2y ≤ 7

2 Answers

5 votes

Answer:

The Answer is A. −2x + 3y > 7

Hope This Helps!

User Jess Bowers
by
8.0k points
4 votes

Answer:

The inequality that matches the graph is:


2x-3y<7

Explanation:

It is given that the line is a dashed line.

This means that the inequality is strict.

Also, the dashed line passes through (-10,-9) and (-1,-3) and (8,3)

Using two point formula we may find the equation of the line.

i.e. any line passing through two points (a,b) and (c,d) is calculated by using the equation:


y-b=(d-b)/(c-a)* (x-a)

Here (a,b)=(-10,-9) and (c,d)=(-1,-3)

The equation of line is:


y-(-9)=(-3-(-9))/(-1-(-10))* (x-(-10))\\\\i.e.\\\\y+9=(-3+9)/(-1+10)* (x+10)\\\\i.e.\\\\y+9=(6)/(9)* (x+10)\\\\i.e.\\\\y+9=(2)/(3)* (x+10)\\\\3(y+9)=2* (x+10)\\\\3y+27=2x+20\\\\i.e.\\\\2x-3y=27-20\\\\i.e.\\\\2x-3y=7

Also, the shaded region is above the line.

Hence, the inequality is:


2x-3y<7

Which inequality matches the graph? X, Y graph. X range is negative 10 to 10, and-example-1
User Salvi Pascual
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories