# How do you find the slope and intercept of y=x+4?

Dec 20, 2015

slope$= 1$
y-intercept$= 4$
x-intercept$= - 4$

#### Explanation:

The equation can be written in slope-intercept form, which is:

$y = m x + b$

where:
$y =$y-coordinate
$m =$slope
$x =$x-coordinate
$b =$y-intercept

Looking back at your equation, this means that:

$m = 1 \Rightarrow$ slope
$b = 4 \Rightarrow$ y-intercept

To find the x-intercept, substitute $y$ as $0$. The reason for this is that any x-intercept has a y-coordinate of $0$. When we substitute $y$ as $0$ into the equation, the only unknown variable left to solve will be $x$:

$y = x + 4$
$0 = x + 4$
$- 4 = x \Rightarrow$ x-intercept

Dec 20, 2015

Slope is $1$, $x$ intercept $- 4$ and $y$ intercept is $4$.

#### Explanation:

$\textcolor{w h i t e}{\times} y = x + 4$

Let $m$ be the slope. Then,
$\textcolor{w h i t e}{\times} y = m x + c$

$\textcolor{w h i t e}{\times} y = x + 4$
Therefore slope is $1$.

For $x = 0$,
$\textcolor{w h i t e}{\times} y = 4$

For $y = 0$,
$\textcolor{w h i t e}{\times} x = - 4$

Therefore $x$ intercept $- 4$ and $y$ intercept is $4$.
graph{x+4 [-10, 10, -5, 5]}