# How do you find the slope and intercept of 3x + y = -4?

Jul 19, 2016

Slope $m = - 3$, &, Y-intercept $c = - 4$.

#### Explanation:

The slope-intercept form of a line is $: y = m x + c$, where, $m$ is slope and $c$ is Y-intercept of the line..

The given eqn. is, $: y = - 3 x - 4$

Clearly, the Slope $m = - 3$, &, Y-intercept $c = - 4$.

Jul 19, 2016

slope = -3 , y-intercept = -4

#### Explanation:

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

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

The advantage to having the equation in this form is that m and b, may be extracted 'easily'.

Express 3x + y = -4 in this form.

subtract 3x from both sides

$\cancel{3 x} + y - \cancel{3 x} = - 3 x - 4 \Rightarrow y = - 3 x - 4$

Now y = -3x - 4 is in $\textcolor{b l u e}{\text{slope-intercept form}}$

Hence slope = - 3 and y-intercept = - 4