 Hello and welcome to the session. I am Asha and I am going to help you with the following question that says, find the equation of the line passing through minus 3, 5 and perpendicular to the line through the points 2, 5 and minus 3, 6. So let's start with the solution. And firstly let's find the slope of the line joining points 2, 5, minus 3, 6. So this is given by this 5 upon minus 3, minus 2. Since to find the slope of the line joining points having coordinates x1 and y1 and x2, y2 is given by y2 minus y1 upon x2 minus x1. So this is the slope of the line joining points. Suppose this is point p and q. Fine. So the slope comes out equal to 1 upon minus 5. Now if we have two lines having slopes n1 and n2 are perpendicular to each other. Then the product of their slopes is equal to minus 1. So here we have to find the equation of the line passing through the point minus 3, 5 and this is perpendicular to the line which passes through the point 2, 5 and minus 3, 6. Now let 2, 5 denote the point p and minus 3, 6 denote the point q. So the slope of line joining the points p and q is given by 1 upon minus 5. Let us denote it by m1. So m1 is equal to minus 1 upon 5. Now slope perpendicular to pq. Let us denote it by m2 is given by minus 1 upon m1 which is the slope of the first line pq. So this is further given by minus 1 upon minus 1 upon 5 which is equal to 5. So the slope of the line which is perpendicular to pq is 5. Now let us find the equation of line passing through the point minus 3, 5 having slope 5. Just we find out it is given by is equal to 5 times of x minus of minus 3 since equation of a line passing through a point x1, y1 and having slope m is given by y minus y1 is equal to m times of x minus x1 and here minus 3 is x1 and 5 is y1 and the slope m is 5. So we have y minus 5 is equal to 5 times of x plus 3 or we have y minus 5 is equal to 5x plus 15 or 5x minus y plus 15 plus 5 is equal to 0 or we further have 5x minus y plus 20 is equal to 0. Thus equation of the line passing through the point minus 3, 5 and perpendicular to the line through the points 2, 5 and minus 3, 6 is given by 5x minus y plus 20 is equal to 0. So this is our answer. Hope you have understood it. Take care and have a good day.