 Hello and welcome to the session. In this session we will discuss how to graph linear and non-linear system of equations using graphing calculator and we will also learn to find their point of intersection. Let us graph the following linear quadratic system of equations given by y is equal to x plus 2 and y is equal to x square on graphing calculator and then we shall find their points of intersection. First we begin with home screen and press y is equal to key. This takes us to the equation entering screen where we will write our equation. Now let us enter the equation y is equal to x plus 2 into y1 and y is equal to x square into y2. We will get the following display on the screen. Now to view its graph we press graph key. On the screen the graph of the linear function that is y is equal to x plus 2 and the graph of the non-linear function that is y is equal to x square will appear. So this straight line is graph of the function y is equal to x plus 2 and this parabola is graph of y is equal to x square. Now we need to find their points of intersection. Now if we look at the screen we can clearly see that there are two points of intersection and we have to find their coordinates. For this we press second key followed by trace key and we will get the calculate menu on the screen. Now see at number 5 intersect is written. So we press number 5 key to know points of intersection. We will get the following display. Now see first curve that is y1 is equal to x plus 2 is written. So we bring cursor here one of the intersecting points and then we press enter key we get this display. Now second curve that is y2 is equal to x square is written. So we bring cursor here to the same intersecting point on second curve that is y is equal to x square. Now we press enter key guess appears on screen and again we press enter key so we get the following display. This gives us the coordinates of this point of intersection and it is x is equal to 2 and y is equal to 4. So the ordered pair 2 4 is one point of intersection. Now to know the second point of intersection we again press second key followed by trace key and then number 5 key. We again get this display. Now on first equation we press enter key then on second function we press enter key by bringing cursor near the point of intersection. Now guess appears on screen and we again press enter key so we get x is equal to minus 1 and y is equal to 1 on the screen. Thus the other point of intersection is the ordered pair minus 1 1. Thus we can find the point of intersection on graphing calculator for linear and non-linear systems of equations. This completes our session. Hope you enjoyed this session.