Draw the graph for the equation given below :

$\dfrac{2x - 1}{3} - \dfrac{y - 2}{5} = 0$

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

$\dfrac{2x - 1}{3} - \dfrac{y - 2}{5} = 0$

Step 1:

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

Let x = -1, then $\dfrac{2 \times (-1) - 1}{3} - \dfrac{y - 2}{5} = 0 ⇒ y = -3$

Let x = 0, then $\dfrac{2 \times 0 - 1}{3} - \dfrac{y - 2}{5} = 0 ⇒ y = 0.3$

Let x = 1, then $\dfrac{2 \times 1 - 1}{3} - \dfrac{y - 2}{5} = 0 ⇒ y = 3.6$

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.

From the graph we get that the line meets x-axis at (-0.1, 0) and y-axis at (0, 0.3)