Question

How do you find the slope and intercept of `4y = 8 - x`?

Answer 1

`"slope "=-1/4," intercept "=2`

Explanation:

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

`color(red)(bar(ul(|color(white)(2/2)color(black)(y=mx+b)color(white)(2/2)|)))`
where m represents the slope and b, the y-intercept.

`"rearrange " 4y=8-x" into this form"`

`"divide ALL terms by 4"`

`(cancel(4) y)/cancel(4)=8/4-1/4 x`

`rArry=2-1/4x" or"`

`y=-1/4x+2larrcolor(red)" in slope-intercept form"`

`rArr"slope "=-1/4," y-intercept "=2`