 Hello and welcome to the session. In this session we will discuss the following question and the question says, graph the equation 2x-y is equal to 8. Let's start the solution now. We have to graph the equation 2x-y is equal to 8. So the given equation is 2x-y is equal to 8. We will now express the variable y in terms of variable x. That is, we will write y in terms of x. So transposing 2x on the right hand side of the equation, we get this implies minus y is equal to 8 minus 2x. Now multiplying both sides by minus 1, we get this implies y is equal to 2x minus 8. Now to draw the graph for the given equation, we will follow some steps and step one of construction is write the equation in the form y is equal to 2x minus 8. Now step two is make a table by substituting values per x. So now we will make a table for different values of x and corresponding values of y. So we have made this table where we will substitute values of x to obtain corresponding values of y. Now substituting x is equal to 0. In the given equation we get y is equal to 2 into 0 minus 8 which is equal to minus 8. So we get the added pair 0 minus 8. Now substituting x is equal to 1 in the given equation, we get y is equal to 2 into 1 minus 8 which is equal to 2 minus 8 which is equal to minus 6. So we get the added pair 1 minus 6. Substituting x is equal to 2, we get y is equal to 2 into 2 minus 8 which is equal equal to 4 minus 8 which is equal to minus 4. So we get the audit pair 2 minus 4. So this is the table of values that we have made and we have obtained these three points which is the audit pair 0 minus 8, audit pair 1 minus 6 and audit pair 2 minus 4. Now step 3 is plot these three points. So we will now plot the three points that we obtained in the step 2. So this is our coordinate plane in which the horizontal axis is x-axis and vertical axis is y-axis. Now we will plot the first point that is the audit pair 0 minus 8. In the audit pair 0 minus 8, x-coordinate is 0 and y-coordinate is minus 8. So first we will reach the point 0 on x-axis which is the point of interception of the two axes of the origin. Then we will move downwards on the y-axis till we reach the point minus 8. So this point is the audit pair 0 minus 8. Now the second point is audit pair 1 minus 6. In the audit pair 1 minus 6, x-coordinate is equal to 1 and y-coordinate is equal to minus 6. So first we reach the point 1 on x-axis. Then we will move downwards along y-axis till we reach the point minus 6. This point is the audit pair 1 minus 6. Now we will plot the third point which is audit pair 2 minus 4. In the audit pair 2 minus 4, x-coordinate is equal to 2 and y-coordinate is equal to minus 4. So first we will reach the point 2 on x-axis. Then we will move downwards along y-axis till we reach the point minus 4. This point is the audit pair 2 minus 4. So in this way we have plotted all the three points. Now step 4 is draw a straight line first and third point if the second point lies on this line. So we will now join the first and the third points by a straight line. So this is the straight line that we obtain when we join the first and third points and we can see that the second point also lies on this line. So this line is the graph for the equation 2x minus y is equal to 8. With this the end of our session. Hope you enjoyed the session.