Question

What is the slope and `y`-intercept of `x+3y=6`?

Answer 1

`"slope "=-1/3" y-intercept "=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 "x+3y=6" into this form"`

`"subtract x from both sides"`

`cancel(x)cancel(-x)+3y=6-x`

`rArr3y=-x+6`

`"divide all terms by 3"`

`rArry=-1/3x+2larrcolor(blue)"in slope-intercept form"`

`rArr"slope "=-1/3" and y-intercept "=2`
graph{-1/3x+2 [-10, 10, -5, 5]}