# How do you graph y=x+1 using slope intercept form?

Dec 4, 2017

Slope $= 1$

x intercept $= - 1$

y intercept $= 1$

Graph included as a part of our solution.

#### Explanation:

We are given a linear equation in the slope-intercept form .

We have $\textcolor{red}{y = x + 1}$ $. . \textcolor{g r e e n}{E q u a t i o n .1}$

This is of slope-intercept form $\textcolor{b l u e}{y = m x + b}$

where $\textcolor{b l u e}{m}$ is the slope.

In our problem, $S l o p e \left(m\right) = 1$

$\textcolor{b l u e}{b}$ is the y-intercept.

In our problem, y-intercept $= 1$

To find the x-intercept we substitute $y = 0$ in $. . \textcolor{g r e e n}{E q u a t i o n .1}$

$0 = x + 1$

Hence, in our problem, x-intercept $= - 1$

Hence our line will pass through two points $\left(- 1 , 0\right) \mathmr{and} \left(0 , 1\right)$

You may want to investigate the graph for a better understanding.