Question

`y-4=3(x-2)` Write the equation in slope-intercept form. How do I do this?

Answer 1

`y = 3x - 2` is the Slope- Intercept form with

Slope `= 3`, y-intercept `= -2`

Explanation:

`y - 4 = 3(x-2)`

`y = 3x - 6 + 4`

`y = 3x - 2` is the Slope- Intercept form with

Slope `= 3`, y-intercept `= -2`

Answer 2

`y=3x-2`

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"`

`"distribute and rearrange the given equation into this form"`

`y-4=3x-6`

`"add 4 to both sides"`

`y=3x-2larrcolor(blue)"in slope-intercept form"`

Answer 3

`y=3x-2`

Explanation:

Recall that slope-intercept form is of the form

`y=mx+b`, where `m` is the slope and `b` is the `y`-intercept.

We can start to convert this equation by distributing the `3` on the right. We now have

`y-4=3x-6`

Remember, with slope-intercept form, we only want a `y` on the left side, so let's add `4` to both sides. We now have

`y=3x-2`

Hope this helps!