# How do you write an equation of a line with slope 1 and y-intercept 1?

Nov 20, 2016

$y = x + 1$

#### Explanation:

Equation of a line with slope $m$ and $y$-intercept $c$ is

$y = m x + c$

and hence equation of a line with slope $1$ and $y$-intercept as $1$ is

$y = 1 \times x + 1$ or $y = x + 1$
graph{y=x+1 [-5.938, 4.06, -2.12, 2.88]}

Nov 20, 2016

$y = x + 1$

#### Explanation:

The equation of a line in $\textcolor{b l u e}{\text{slope-intercept form}}$ is.

$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{y = m x + b} \textcolor{w h i t e}{\frac{2}{2}} |}}}$
where m represents the slope and b, the y-intercept.

Here m = 1 and b = 1

$\Rightarrow y = x + 1 \text{ is the equation of the line}$