Question

b) write the equation of the line shown below and state its slope.

Explanation:

Step1: Identify the line type

The line is a vertical line passing through \(x = 5\). The general form of a vertical - line equation is \(x=a\), where \(a\) is the \(x\) - coordinate of any point on the line.

Step2: Determine the slope

The slope \(m\) of a line is given by the formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\). For a vertical line, \(x_1=x_2\), so the denominator of the slope - formula is \(0\). Division by zero is undefined. So the slope of a vertical line is undefined.

Answer:

The equation of the line is \(x = 5\), and the slope is undefined.