Question

Draw the graph of the following line:

2x – 7 = 0

Answer 1

To graph the line given by the equation 2x – 7 = 0, we first need to express in terms of a constant.

1. Simplify the equation

Isolate the variable x:

2x = 7

`x = 7/2`

x = 3.5

2. Identify the nature of the line

Since the equation is of the form x = c (where c is a constant), the graph is a vertical line. Every point on this line has an x-coordinate of 3.5.

3. Plot the graph

The x-intercept: The line crosses the x-axis at the point (3.5, 0).  

Orientation: Draw a straight vertical line passing through x = 3.5 on the cartesian plane.

Parallelism: This line is parallel to the y-axis.