# What is the slope of the line whose equation is 3x-y=4?

##### 2 Answers
Apr 11, 2018

The slope is $3$.

#### Explanation:

The slope of a line in the form $y = m x + b$ is $m$.

$3 x - y = 4$

$- y = - 3 x + 4$ subtract $3 x$ from both sides

$y = 3 x - 4$ multiply both sides by $- 1$

$\therefore$ the slope is $3$

Apr 11, 2018

$\text{slope } = 3$

#### Explanation:

$\text{the equation of a line in "color(blue)"slope-intercept form}$ is.

•color(white)(x)y=mx+b

$\text{where m is the slope and b the y-intercept}$

$\text{rearrange "3x-y=4" into this form}$

$\text{subtract 3x from both sides}$

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

$\Rightarrow - y = - 3 x + 4$

$\text{multiply through by } - 1$

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

$\text{with slope m } = 3$