# Lf a line is drawn parallel to the y axis through the point (4,2), then what would its equation be?

Nov 21, 2016

$x = 4$

#### Explanation:

A line parallel to the y-axis, passes through all points in the plane with the same x-coordinate. For this reason it's equation is.

$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{x = c} \textcolor{w h i t e}{\frac{2}{2}} |}}}$
where c is the value of the x-coordinate of the points it passes through.

The line passes through the point $\left(\textcolor{red}{4} , 2\right)$

$\Rightarrow x = 4 \text{ is the equation}$
graph{y-1000x+4000=0 [-10, 10, -5, 5]}