Question

For each of the following equations state whether it represents a horizontal, vertical, or slanted Line. Then, state the value of the line's slope. If its slope is undefined, state Undefined.

Answer 1

a) y=7 is a horizontal line then its slope is 0.

b) It is a slanted line, its slope is 2/3.

c) x=5 is a vertical line, so its slope is undefined.

Explanation:

A line is represented by the following expression:

`\begin{gathered} y=mx+b \\ \text{where,} \\ m=\text{slope} \end{gathered}`

The slope is defined by a change in y/change in x. The slope of a horizontal line is 0. The slope of a vertical line is undefined.

Therefore,

a) y=7 is a horizontal line then its slope is 0.

b) It is a slanted line, its slope is 2/3.

c) x=5 is a vertical line, so its slope is undefined.