# Graph 4x-3y>9.? State the coordinate of a)a point in the solution set? b)a point that is not in the solution set?

Jul 21, 2018

A point that would be a solution would be $\left(4 , - 2\right)$

A point that would not be in the solution set would be $\left(0 , 0\right)$

#### Explanation:

To make it easier to graph, I would change the equation to slope intercept form $y = m x + b$

$- 3 y > 9 - 4 x$

$y < - 3 + \left(\frac{4}{3}\right) x$

Since you are dividing both sides by a negative, the inequality sign switches, giving you this graph

The shaded region contains the points that are in the solution set, while the unshaded region contains the points that are not in the solution set. The points that fall on the dotted line are not included in the solution set because the equation states that the solution is less than, so it can't be equal to the equation.

A point that would be a solution would be $\left(4 , - 2\right)$

A point that would not be in the solution set would be $\left(0 , 0\right)$