 Hello and welcome to the session. Let us solve the following question which says, find the equation of a line that cuts off equal intercepts on the coordinate axis and passes through the point 2, 3. Let us learn the intercept form of a line. This one is y. Suppose a line L makes x intercept a, y intercept b on the axis, obviously L meets x axis at a point a0 at a point 0p. Now the equation of this line is given by x upon a plus y upon b is equal to 1. So, with the help of this idea, we are going to solve the above problem. So, this is our key idea. Let us now start with the solution. An equation of a line an intercept form is x upon a plus y upon b is equal to 1 and here we are given that the line cuts off equal intercept on the coordinate axis. So, this implies here a is equal to b. So, we are given a is equal to b. Therefore, equation of a line an coordinate less x upon a plus y upon a is equal to 1 or x plus y is equal to a. Now we are given that the line passes through the point 2, 3. Therefore, this point must satisfy the equation of a line that is we are given that line passes through 2, 3. So, this implies it must satisfy the equation of the line. So, we have 2 plus 3 is equal to a. So, this implies a is equal to 5 and therefore, equation of the line which cuts off equal intercept and passes through the point 2, 3 is given by x plus y is equal to 5 or x plus y is equal to minus 5 is equal to 0 and that is our answer is equation of line is x plus y is equal to 5. So, this completes the solution. Hope you have understood it. Take care and have a good day.