Question

How do you find the slope and intercept of `3x-y=5`?

Answer 1

`"slope "=3," y-intercept "=-5`

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 " 3x-y=5" into this form"`

add y to both sides.

`3xcancel(-y)cancel(+y)=y+5`

`rArry+5=3x`

subtract 5 from both sides.

`ycancel(=5)cancel(-5)=3x-5`

`rArry=3x-5larrcolor(red)"in form " y=mx+b`

`"by comparison, slope "=3" and y-intercept "=-5`