# Question 2214c

Oct 2, 2017

$y = 4 x - 6$

#### Explanation:

You want the equation to be $y = \text{m"x+"c}$

Move the y over to be positive:

$4 x = 6 + y$

Now put the 6 on the other side:

$4 x - 6 = y$

Now re-write to have $y =$

$y = 4 x - 6$

Oct 2, 2017

$y = 4 x - 6$

#### Explanation:

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

•color(white)(x)y=mx+b#

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

$\text{rearrange "4x-y=6" into this form}$

$\text{add y to both sides}$

$4 x \cancel{- y} \cancel{+ y} = 6 + y$

$\Rightarrow 4 x = 6 + y$

$\text{subtract 6 from both sides}$

$4 x - 6 = \cancel{6} \cancel{- 6} + y$

$\Rightarrow 4 x - 6 = y$

$\Rightarrow y = 4 x - 6 \leftarrow \textcolor{red}{\text{ in slope-intercept form}}$