Which inequality does this graph show?
![Which inequality does this graph show class=](https://us-static.z-dn.net/files/d3f/eb43fc8350137fb5b463cd674a83fd46.png)
![Which inequality does this graph show class=](https://us-static.z-dn.net/files/d04/67d0936b5cfcd4fceb53673afc40bea6.png)
Answer:
D
Step-by-step explanation:
We can find two clear points. (2.5, -0.5) and (4, 0). The slope is 1/3. So our equation is y=(1/3)x + ?. We can figure out the y-intercept by inputting a point. For example, if we input (4,0), we have 0=(4/3)x + ?. So our y-intercept is -4/3. Our equation is y=(1/3)x-4/3. Rearrange and we have y-(1/3)x=-4/3. We multiply 3 to get rid of fractions. 3y-x=-4. Therefore the equation of the line is 3y-x=-4. Now for the inequality part: The shading is BELOW and the line is bolded (not dotted) so it would be "less than or equal to". So, the inequality of the graph would be 3y-x≤-4.