# What is the slope of a line defined by the equation 3x + y = -4?

Jun 3, 2016

slope$= - 3$

#### Explanation:

Recall that the slope of a line can be determined when its equation is in slope-intercept form:

$\textcolor{b l u e}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} y = m x + b \textcolor{w h i t e}{\frac{a}{a}} |}}}$

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

In your case, you are looking for $m$.

Given,

$3 x + y = - 4$

Solve for $y$. Subtract $3 x$ from both sides.

$3 x \textcolor{w h i t e}{i} \textcolor{red}{- 3 x} + y = \textcolor{red}{- 3 x} - 4$

Simplifying,

$y = \textcolor{\mathrm{da} r k \mathmr{and} a n \ge}{- 3} x - 4$

Referring back to the general equation of a line, the slope, $m$, would be $\textcolor{\mathrm{da} r k \mathmr{and} a n \ge}{- 3}$.