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

##### 2 Answers

May 23, 2018

#### Explanation:

#"the equation of a line in "color(blue)"slope-intercept form"# is.

#•color(white)(x)y=mx+b#

#"where m is the slope and b the y-intercept"#

#"rearrange "5x-2y=2" into this form"#

#"subtract "5x" from both sides"#

#-2y=-5x+2#

#"divide all terms by "-2#

#y=5/2x-1larrcolor(blue)"in slope-intercept form"#

#"with slope "=5/2#

May 23, 2018

#### 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

#y=underbrace color(brown)(m)x+c#

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

Divide both sides by 2,