Chapter 1.3, Problem 8E

To determine

To fill the blank space: Every line has an equation that can be written in the ---- ----------form.

Answer to Problem 8E

Every line has an equation that can be written in the ----General---------form.

Explanation of Solution

Given information :

Given Every line has an equation.

Since every line has an equation that can be written in the form of $y=mx+c$ is called general form of a line.

For example, for vertical line has an equation of the form $x=k_1;k_1\in R$ where $y=0,c=0$ .

For horizontal line has an equation of the form $y=k_2;k_2\in R$ where $m=0,c=0$ .

For other set of lines, we can represent by the form of $y=mx+c$ , where $mandc$ are either positive or negative real values.