Question

How do you find the slope and y intercept of `2x-5y=10`?

Answer 1

`"slope "=2/5,"y-intercept "=-2`

Explanation:

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

`•color(white)(x)y=mx+b`

`"where m represents the slope and b the y-intercept"`

`"rearrange "2x-5y=10" into this form"`

`"subtract 2x from both sides"`

`cancel(2x)cancel(-2x)-5y=10-2x`

`rArr-5y=-2x+10`

`"divide all terms by - 5"`

`(cancel(-5) y)/cancel(-5)=(-2)/(-5)x+10/(-5)`

`rArry=2/5x-2larrcolor(red)" in slope-intercept form"`

`rArr"slope "=2/5" y-intercept "=-2`