You can also graph the linear equations or inequalities on your graphing calculator to find solutions.

Let's say that you are asked to determine if (8, -2) is a solution to *y* =
two-fifths
2
5
*x* + 4.

Step 1:

Enter the equation in

Step 2:

Look at the graph for this equation by pressing (You may need to set your window.)

Step 3:

Use the feature by pressing and then typing 8 and pressing

It's easy to see that when *x* = 8, *y* = 7.2 and so (8, -2) is NOT a solution to the equation since the point is not on the graph.

Let's look at a linear inequality next.

Is (-1, -6) a solution for *y* ≤ 3*x* − 2?

Step 1:

Enter the equation in

Step 2:

Look at the graph for this equation by pressing (You may need to set your window.)

Remember that we are looking for points where *y* is **less than or equal to**.
So we are looking for points that not only include the points on the line but are also **below** the line.

The solutions for *y* ≤ 3*x* − 2 are located on the line itself and the shaded portion of the graph.

Is (-1, -6) in this shaded region? YES, so it is a solution.

Use the Graph feature on your calculator and determine if the given ordered pair is a solution to each linear equation or inequality.

- Is (-1, -6) a solution for
*y*< two-thirds 2 3*x*− 1? - Is (-8, 2.4) a solution for
*y*= - one-half 1 2*x*− 1.6? - Is (-2, 5.6) a solution for 2
*y*−*x*≥ 2?

When you are finished, click below to check your answer.

Interactive popup. Assistance may be required.Answer to question 1: Yes

Answer to question 2: Yes

Answer to question 3: Yes