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

2 Answers
May 23, 2018

#"slope "=5/2#

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

#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 color(brown)(m)x+c#

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

#rarr5x-2y=2#

#rarr2y=5x-2#

Divide both sides by 2,

#rarry=color(green)(5/2) x-1#

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