Chapter 8.3, Problem 3OE

To determine

To Explain: The lines with zero slope,

  

Answer to Problem 3OE

Line $b$ has zero slope.

Explanation of Solution

Given information:

The lines with a zero slope.

Formula used:

For the zero slope, where the $X$ value may vary but the $Y$ value will always be constant. An equation for a zero slope line will be $y=b$ . Where the lines slope is $0\left(m=0\right)$ .

Consider the lines:

The equation of line of slope zero will be $y=b$ .

For example:

The points are: $x_1,x_2,y_1,y_2$ are as:

  $\left(1,3\right),\left(2,3\right)$

The formula to finding a slope is:

  $\begin{array}{c}m=\frac{y_2-y_1}{x_2-x_1}\\ =\frac{3-3}{2-1}\\ =\frac{0}{1}\\ =0\end{array}$

The slope of the line is zero that means $m=0$ .

Thus, the lines $b$ has zero slope.