Question

assignment 4.3

1. which equation describes each graph?

i) ( x = - 2 ) ii) ( x = 2 )
iii) ( y = - 2 ) iv) ( y = 2 )
a) b)

Explanation:

Step1: Recall the properties of horizontal and vertical lines

A vertical line has an equation of the form \(x = a\), where \(a\) is a constant. A horizontal line has an equation of the form \(y = b\), where \(b\) is a constant.

Step2: Analyze graph a)

If we assume graph a) is a vertical line (since in the coordinate - system, if all points on the line have the same \(x\) - value). If the line passes through \(x=-2\), the equation of the line is \(x = - 2\) (i).

Step3: Analyze graph b)

If we assume graph b) is a horizontal line (since all points on the line have the same \(y\) - value). If the line passes through \(y=-2\), the equation of the line is \(y=-2\) (iii).

Answer:

a) i. \(x = - 2\)
b) iii. \(y=-2\)