Question

Find an equation of the y-axis.

Short answer

Equation of the y-axis:$x=0$

Step-by-step solution

Step 1. Finding the equation of y-axis 

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

Taking two points on y-axis: role="math" localid="1646023835734" $(0,0),(0,d)$

Putting $(0,0)$we get, $0=m\left(0\right)+b$

$0=0+b$

$b=0$

Equation becomes, $y=mx$

$y=\frac{y_2-y_1}{x_2-x_1}\left(x\right)$

$y=\frac{d-0}{0-0}\left(x\right)$

$y=\frac{d}{0}\left(x\right)$

$x=\frac{\left(0\right)\left(y\right)}{d}$

$x=0$