 Hi and welcome to the session. I'm Kanika and I'm going to help you to solve the following question. The question says if the work done by a body on application of a constant force is directly proportional to the distance travelled by the body, express this in the form of an equation in two variables and draw the graph of the same by taking the constant force as 5 units. Also read from the graph the work done when the distance travelled by the body is, first part is 2 units and second part is 0 unit. Before solving this question we should know that work done is equal to force into distance. Let's now start the solution. Here the variables involved are work done and distance. So suppose x is the distance is the work done. The question it is given that we have to take the constant force as 5 units. So x is the distance y is the work done and force is 5 units. So by using the formula we have y is equal to 5 x and this implies y is equal to 5 x. So work done is equal to 5 x. This is the required linear equation in two variables. Now we have to draw the graph of this equation for drawing the graph we need at least two solutions of this equation. So let's now find the two solutions of this equation. When x is equal to 1 then y is equal to 5 into 1 and this is equal to 5 and when x is equal to minus 1 then y is equal to 5 into minus 1 and this implies y is equal to minus 5. Now we will represent the solution in the table of form. So let's now make a table. When x is equal to 1 then y is equal to 5. When x is equal to minus 1 then y is equal to minus 5. Now we will draw the graph. We have drawn the two coordinate axes x and y. These two axes are perpendicular to each other. The point of intersection of these two axes is the origin at the origin both x coordinate and y coordinate is 0. x coordinate is also known as fc and y coordinate is also known as ordinate. And we are using the scale 1 centimeter is equal to 1 unit. These are the two solutions which we have found out. Now the first solution is 1 5 that means when abscissa is 1 then ordinate is 5. So we will now draw perpendicular lines from x equals to 1 and y equals to 5. The point of intersection of these two lines is the required point 1 5. Now the second point is minus 1 minus 5. This means when abscissa is minus 1 then ordinate is minus 5. So we will now draw perpendicular lines from x equals to minus 1 and y equals to minus 5. The point of intersection of these two lines is the required point minus 1 minus 5. Now we will join these two points by up. This is the line which is representing the equation y is equal to 5x. Now in the last part of the question we have to read from the graph the work done when the distance travelled by the body is 2 units and 0 units. In the last part of the question we have to read from the graph the work done when the distance travelled by the body is 2 units and 0 units. Let us now look at the graph x axis is representing the distance and y is representing the work done. Firstly we have to find the work done when the distance travelled by the body is 2 units. Now let us see where this 2 goes. Now draw a line from 2 is intersecting this line at 10. This means work done is 10 when distance travelled is 2. In the second part we have to find the work done when the distance travelled by the body is 0 units. The origin distance is 0 and it is also intersecting the line intersecting this line at 0. That means when the distance travelled by the body is 0 then the work done is also 0. Supposing x has the distance and y has the work done we get the required equation as y is equal to 5x and the work done is 10 units when the distance travelled is 2 units and the work done is 0 unit when the distance travelled is 0 unit. This is our required answer. Thank you and hope you have enjoyed the session.