How do you find the slope & y-intercept of the equation y=3x+1?

Dec 26, 2015

Slope is $3$ and $y$ intercept is $1$.

Explanation:

$\textcolor{w h i t e}{\times} y = 3 x + 1$

Let $m$ be the slope:
$\textcolor{w h i t e}{\times} y = m x + c$
$\textcolor{w h i t e}{\times} y = 3 x + 1$

Therefore:
$\textcolor{w h i t e}{\times} m = 3$

For $x = 0$,
$\textcolor{w h i t e}{\times} y = 3 \times 0 + 1$
$\implies y = 1$

Therefore $y$ intercept is $1$