The given equation is 3x + 4y = 6. To draw the graph of this equation, we need at least two points lying on the graph.

Now, the point where graph cuts:

(i) X-axis

For this, y = 0.

∴putting x = 0 in 3x + 4y = 6, we get-

⇒ 3x + 4×0 = 6

⇒ 3x = 6

⇒ x = 2

∴ The point where graph cuts x-axis is (2, 0).

(ii) Y-axis

For this, x = 0.

∴ putting x = 0 in 3x + 4y = 6, we get-

⇒ 3×0 + 4y = 6

⇒ 4y = 6

⇒

∴ the point where graph cuts y-axis is(0, 1.5).

Now plot the points M (0, 1.5) and N (2, 0) and join them to get the straight line, i.e., graph of the equation.