Question

Is $\frac{0}{5}$ undefined slope or zero slope?

Answer 1

Explain whether $\frac{0}{5}$is the undefined slope of zero slopes.

Given that,$\frac{0}{5}$

Write in equation form:

$\begin{array}{rcl}& \Rightarrow & \mathrm{y}=\frac{0}{5}\end{array}...\left(1\right)$

Apply the slope-intercept formula:

Use the slope-intercept form $\mathrm{y}=\mathrm{mx}+\mathrm{b}...\left(2\right)$.

Here, $\mathrm{m}$ is the slope and $\mathrm{b}$ is the $y-$intercept.

Equate the equation $\left(1\right)$ and $\left(2\right)$:

$\Rightarrow \mathrm{mx}+\mathrm{b}=0$

Hence, the value of slope $\mathrm{m}=0$ and $\mathrm{b}=0$.

So, the slope is zero.

Hence, the slope $\frac{\mathbf{0}}{\mathbf{5}}$is a zero slopes.