Draw the graph for the linear equation given below :

$y = 4x - \dfrac{5}{2}$

$y = 4x - \dfrac{5}{2}$

Step 1:

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

Let x = -$\dfrac{3}{2} = -1.5$, then $y = 4 \times \Big(\dfrac{-3}{2}\Big) - \dfrac{5}{2} ⇒ y = -\dfrac{17}{2} = -8.5$

Let x = $\dfrac{1}{2} = 0.5$, then $y = 4 \times \dfrac{1}{2} - \dfrac{5}{2} ⇒ y = -\dfrac{1}{2} = -0.5$

Let x = $\dfrac{3}{2} = 1.5$, then $y = 4 \times \dfrac{3}{2} - \dfrac{5}{2} ⇒ y = \dfrac{7}{2} = 3.5$

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.