 Hello and welcome to the session. Let us solve the following question that says in exercise 1 to 8 find the equation of the line with satisfy the given conditions 7th minus passing through the points having coordinates minus 1 1 and 2 comma minus 4 So firstly this learn the equation of a line passing through two given points Let the two points be x1 y1 and 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 idea, we are going to solve the above problems. So this is our key idea Let's now start with the solution at any given points of minus 1 1 2 minus 4 That is here we have x1 is equal to minus 1 y1 is equal to 1 x2 is equal to 2 and y2 is equal to minus 4 Thus the equation of the line is given by y minus y1 So we have y minus 1 is equal to Then we have y2 minus y1 upon x2 minus x1 so minus 4 minus 1 upon 2 minus of minus 1 into x minus x1 So we have x minus of minus 1 or it can further be written as y minus 1 is equal to minus 5 upon 3 into x plus 1 or we have 3 into y minus 1 is equal to minus 5 into x plus 1 or we have 3 y minus 3 is equal to minus 5 x minus 5 or 5 x plus 3 y plus 5 minus 3 is equal to 0 or 5 x plus 3 y plus 2 is equal to 0 Thus the equation of the line which satisfies the given condition is 5 x plus 3 y plus 2 is equal to 0 So this is our answer Hope you have understood it. Take care and have a good day