 Hello and welcome to the session. I am Asha and I am going to help you with the following question which says, by using the concept of equation of a line, proves that the 3.30 minus 2 minus 2 and 8 to our collinear. So first let us learn the equation of a line passing through 2 points a having coordinates x1, y1 and b, x2, y2 is given by y minus y1 is equal to y2 minus y1 upon x2 minus x1 into x minus x1. So with the help of this formula we will find the equation of line with any two points. So this is our key idea. Let us now start with the solution and let us name the points as a, b and the third point as c. So first let us find the equation of line passing through points a and b. We have y minus y1 is 0, y2 minus y1 so we have minus 2 minus 0 upon minus 2 minus 3 into x minus x1 which is 3. The equation of line is y is equal to minus 2 upon minus 5 into x minus 3 or we have minus 5 phi is equal to minus 2x plus 6 or 2x minus 5 phi is equal to 6. So this is the required equation of the line which passes through the point a and b. Let us denote this equation by equation number 1. Now point c which is 8, 2 well line on line 1 satisfies the equation that is it will substitute x as 8 and y is equal to 2 and we must get the right inside as 6. So let us find the left inside so we have 2 into 8 minus 5 into 2 is equal to 16 minus 10 is equal to 6 which is the right inside of equation of a line which passes through point a and b. So this implies point c lie on the line 1 that is the 3 points a b and c lie on the same line 3 0 minus 2 minus 2 and a2 are collinear. So this completes the session. Take care and have a good day.