The following observed values of x and y are thought to satisfy a linear equation. Write the linear equation.

Draw the graph, using the values x and y as given in the above table. At what points, the graph of the linear equation

(i) cuts the X-axis?

(ii) cuts the Y-axis?

Let the linear equation y = mx + c satisfies the points (6-2)and (-6,6).

∴ - 2 = 6 m + c…(i)

and 6 = - 6 m + c…(ii)

On subtracting Eq. (ii) from Eq. (i), we get

which is the required linear equation and its graph is

On putting y=0 in eq.(iii), we get

0 + 2x = 6

=> x = 3

∴(3, 0) is a solution of the equation.

Again, putting x = 0 in Eq. (iii), we get

3y + 0 = 6

=> y=2

∴(0,2) is a solution of the equation.

(i) The graph of the linear equation will cut X-axis at

(3,0).

(ii) The graph of the linear equation will cut Y-axis at

(0,2).