Find the Slope 3x+y=6

$3 x + y = 6$

Step 1

Rewrite in slope-intercept form.

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Subtract $3 x$ from both sides of the equation.

$y = 6 - 3 x$

Reorder $6$ and $- 3 x$ .

$y = - 3 x + 6$

Step 2

Using the slope-intercept form, the slope is $- 3$ .

$m = - 3$

Step 3