Q. 101 - Precalculus Enhanced with Graphing Utilities

Question

Find an equation of the x-axis.

Step-by-Step Solution

Answer

Equation of the x-axis: $y=0$.

Step 1. Finding the slope of x-axis

Taking two points on x-axis: $(0,0), (d,0)$

Slope, $m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{0-0}{d-0}$

$m=\frac{0}{d}$

$m=0$

Step 2. Finding the y-intercept

y-intercept is found by substituting point $(0,0)$ in slope-intercept form. which gives,

$$\begin{gathered} 0=m\left(0\right)+b \\ b=0 \end{gathered}$$

Step 3. Substituting slope and y-intercept in the slope-intercept form of line

Slope-intercept form of line: $y=mx+b$

Substituting the values obtained above,

$$\begin{gathered} y=\left(0\right)\left(x\right)+0 \\ y=0 \end{gathered}$$