Question

How do you write the slope intercept form of the line `4x-y=1`?

Answer 1

`y=4x-1`

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 " 4x-y=1" into this form"`

`"subtract 4x from both sides."`

`cancel(4x)cancel(-4x)-y=-4x+1`

`rArr-y=-4x+1`

`"multiply through by -1"`

`rArry=4x-1larrcolor(red)" in slope-intercept form"`