Draw the graph of the equation y = 3x - 4. Find graphically

(i) the value of y when x = -1

(ii) the value of x when y = 5.

Equation :

⇒ y = 3x - 4

When x = 0, y = 3(0) - 4 = 0 - 4 = -4,

x = 2, y = 3(2) - 4 = 6 - 4 = 2,

Table of values :

Steps of construction :

1. Plot the points (0, -4) and (2, 2) on the graph.

2. Connect the two points by a straight line.

Hence, the graph of the given equation is shown in the adjoining figure.

(i) Steps of construction :

1. From point, P (x = -1) draw a line parallel to y-axis touching the graph. Mark the point as Q.

2. From Q draw a line parallel to x-axis, touching y-axis at point R (y = -7).

Hence, y = -7, when x = -1.

(ii) Steps of construction :

1. From point, S (y = 5) draw a line parallel to x-axis touching the graph. Mark the point as T.

2. From T draw a line parallel to y-axis, touching x-axis at point U (x = 3).

Hence, x = 3, when y = 5.