# How do you find the x and y intercepts of y=-x+1?

Feb 8, 2017

See the solution process below:

#### Explanation:

The slope-intercept form of a linear equation is: $y = \textcolor{red}{m} x + \textcolor{b l u e}{b}$

Where $\textcolor{red}{m}$ is the slope and $\textcolor{b l u e}{b}$ is the y-intercept value.

This equation is in the slope intercept form ($y = \textcolor{red}{- 1} x + \textcolor{b l u e}{1}$)

The y-intercept is $\textcolor{b l u e}{b = 1}$ or $\left(0 , 1\right)$

To find the x-intercept set $y$ to $0$ and solve for $x$:

$0 = \textcolor{red}{- 1} x + \textcolor{b l u e}{1}$

$0 - 1 = \textcolor{red}{- 1} x + \textcolor{b l u e}{1} - 1$

$- 1 = \textcolor{red}{- 1} x + 0$

$- 1 = \textcolor{red}{- 1} x$

$\textcolor{b l u e}{- 1} \times - 1 = \textcolor{b l u e}{- 1} \times \textcolor{red}{- 1} x$

$1 = 1 x$

$x = 1$

The x-intercept is $1$ or $\left(1 , 0\right)$