Question

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

Answer 1

`"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`

Answer 2

`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`