 Hi, and welcome to the session. Let's discuss the following question. The question says give the equations of two lines passing through 214, how many more such lines are there and why? Let's now start the solution. In this question we have to find two equations of lines which pass through 214. We know that every point on the graph is a solution of the linear equation All right, so this means we have to find two linear equation which has 214 as solution Let's take the first equation as 7x minus y is equal to 0 Let's now verify that whether the point 214 satisfies this equation or not Now our LHS is equal to 7x minus y, now here x is equal to 2 and y is equal to 14 So by substituting the values we get 7 into 2 minus 14 and this is equal to 14 minus 14 which is equal to 0 and our RHS is equal to 0 therefore LHS is equal to RHS Since LHS is equal to RHS So this implies that the equation 7x minus y is equal to 0 has 214 as solution. So first equation passing through 214 is 7x minus y is equal to 0. We have to find the second equation passing through 214 So let's take the second equation as x plus y is equal to 60 Let's now verify whether the point 214 satisfies this equation or not. Our LHS is equal to x plus y Now here x is equal to 2 and y is equal to 14 So we have 2 plus 14 and 2 plus 14 is equal to 16 therefore LHS is equal to RHS and this implies that 214 is a solution of this equation. So the second equation passing through 214 is x plus y is equal to 16 In the second part we have to find how many more such lines are there and why Now we know that through a point infinite number of lines can be drawn So there are infinite number of lines passing through 214 so There are infinite number of lines passing through because a point infinite number of lines can be drawn first equation passing through 214 is 7x minus y is equal to 0 and the second equation passing through 214 is x plus y is equal to 16 infinitely many lines passing through 214 because through a point infinitely Many lines can be drawn. This is our required answer. Bye and take care. Hope you have enjoyed the session