Draw the graph for the equation given below :

2x - 5y = 10

Find the co-ordinates of the points where the graph (line) drawn meets the co-ordinate axes.

2x - 5y = 10

Step 1:

Give at least three suitable values to the variable x and find the corresponding values of y.

Let x = -1, then 2 $\times$ (-1) - 5y = 10 ⇒ y = $- \dfrac{12}{5} = -2.4$

Let x = 0, then 2 $\times$ 0 - 5y = 10 ⇒ y = $-\dfrac{10}{5} = -2$

Let x = 1, then 2 $\times$ 1 - 5y = 10 ⇒ y = $-\dfrac{8}{5} = -1.6$

Step 2:

Make a table (as given below) for the different pairs of the values of x and y:

Step 3:

Plot the points, from the table, on a graph paper and then draw a straight line passing through the points plotted on the graph.