# How do you find equations of the lines passing through (1,3 ) parallel to the x-axis?

Jun 4, 2016

$y = 3$

#### Explanation:

Lines parallel to the $x$-axis have its slope equal to 0

$\implies y = m x + b$

$\implies y = 0 x + b$

This means that any value of $x$ will yield the same value for $y$

Substituting the coordinates of the point that the line passes through

$3 = 0 \left(1\right) + b$
$b = 3$

$\implies y = 3$