Question

How do you find the slope and intercept of `7x-4y=4`?

Answer 1

`"slope "=7/4," y-intercept "=-1`

Explanation:

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

`•color(white)(x)y=mx+c`

`"where m is the slope and c the y-intercept"`

`"Rearrange "7x-4y=4" into this form"`

`"subtract "7x" from both sides"`

`-4y=-7x+4`

`"divide all terms by "-4`

`y=7/4x-1larrcolor(blue)"in slope-intercept form"`

`"with slope "=7/4" and y-intercept "=-1`

Answer 2

Slope: `7/4`
`y`-intercept: `-1`

Explanation:

We can easily put this into slope-intercept form

`y=mx+b`, with slope `m` and a `y`-intercept of `b`.

We essentially want just a `y` on the left. Let's subtract `7x` from both sides to get

`-4y=-7x+4`

Next, divide both sides by `-4` to get

`y=7/4x-1`

Now, our equation is in slope-intercept form, with a slope of `7/4` and a `y`-intercept of `-1`.

Hope this helps!