# How do you find the equation, x-intercept, and the y-intercept for the line that passes through (-3,1) with a slope of zero?

Jul 24, 2017

See a solution process below:

#### Explanation:

A line with slope $0$ by definition is a horizontal line.

Horizontal lines have the same value for $y$ for each and every value of $x$.

Because the $y$ value of the point given in the problem is $1$ then the equation is:

$y = 1$

y-intercept

Because the value of the equation is the same for each and every value of $x$, when we set $x$ equal to $0$ to find the $y$ intercept, $y = 1$

Therefore, the $y$-intercept is: $1$ or $\left(0 , 1\right)$

x-intercept

Because this is a horizontal line it is by definition parallel to the $x$ axis. Because it is parallel to the $x$ axis it never crosses the $x$ axis.

Therefore the is no $x$-intercept.