# How do you find the slope given 5x-2y=2?

May 23, 2018

$\text{slope } = \frac{5}{2}$

#### Explanation:

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

•color(white)(x)y=mx+b

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

$\text{rearrange "5x-2y=2" into this form}$

$\text{subtract "5x" from both sides}$

$- 2 y = - 5 x + 2$

$\text{divide all terms by } - 2$

$y = \frac{5}{2} x - 1 \leftarrow \textcolor{b l u e}{\text{in slope-intercept form}}$

$\text{with slope } = \frac{5}{2}$

May 23, 2018

$\frac{5}{2}$

#### Explanation:

In order to know, how to solve this, we need to know what is the slope intercept form of a line.

It is,

color(blue)(y=mx+c

In this equation, the slope of the equation is color(brown)(m

$y = \underbrace{\textcolor{b r o w n}{m}} x + c$

So, in order to find the slope of the equation, we need to convert into this form

$\rightarrow 5 x - 2 y = 2$

$\rightarrow 2 y = 5 x - 2$

Divide both sides by 2,

$\rightarrow y = \textcolor{g r e e n}{\frac{5}{2}} x - 1$

color(green)(rArr"slope"=5/2