Take a graph paper, plot the point (2, 4), and draw a line passing through it.Now answer the following questions.
How many linear equations in two variables exist for which (2, 4) is a solution?

Take a graph paper, plot the point (2, 4), and draw a line passing through it.Now answer the following questions. How many such lines can be drawn?

Mark two points P and Q. Draw a line through P and Q. Now how many lines are parallel to PQ, can you draw?

Check which of the following are solution of the equation x-2y=4 and which are not : (sqrt(2),4sqrt2)

Find the equation of the straight lines passing through the following pair of point: (a t_1, a//t_1) and (a t_2, a//t_2)

Draw the graph of the equation y - 2x = 4 and then answer the following. (i) Does the point (2, 8) lie on the line? Is (2, 8) a solution of the equation? Check by substituting (2, 8) in the equation. (ii) Does the point (4, 2) lie on the line? Is (4, 2) a solution of the equation? Check algebraically also. (iii) From the graph find three more solutions of the equation and also three more which are not solutions.

Find the equation of a line which passes through the point (2, 3, 4) and which has equal intercepts on the axes.

Find the equation of the straight line passing through the point (2,1) and through the point of intersection of the lines x+2y = 3 and 2x-3y=4

Find the solution of each pair of linear equations, if it exists, by substitution method: x+2y=7, 2x+4y=15