Question

What is the slope of the line whose equation is 3x-y=4?

Answer 1

The slope is `3`.

Explanation:

The slope of a line in the form `y=mx+b` is `m`.

`3x-y=4`

`-y=-3x+4` subtract `3x` from both sides

`y=3x-4` multiply both sides by `-1`

`therefore` the slope is `3`

Answer 2

`"slope "=3`

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 "3x-y=4" into this form"`

`"subtract 3x from both sides"`

`cancel(3x)cancel(-3x)-y=-3x+4`

`rArr-y=-3x+4`

`"multiply through by "-1`

`rArry=3x-4larrcolor(blue)"in slope-intercept form"`

`"with slope m "=3`