Question

How do i write and find the equation for,,,? slope = -1/3 passing through (2,-7)

Answer 1

Point-slope form: `(y+7)=-1/3(x-2)`

Slope-intercept form: `y=-1/3x-19/3`

Explanation:

There are a couple of methods to do this. The easiest in your case would be to use point-slope form, which directly takes from the given information.

The general form of point-slope is

`(y-y_1)=m(x-x_1)`

Where `y_1` is the `y`-value of a point on the line,
`x_1` is the `x`-value that corresponds to that point, and
`m` is the slope of the line.

If we plug in the given information, we get this equation for your line:

`(y-(-7))=-1/3(x-2)`, or
`(y+7)=-1/3(x-2)`

If you wanted to convert this into slope-intercept form, you'd have to isolate `y` and distribute the `-1/3` to the right side of the equation. This would give you

`y=-1/3x-6 1/3` or
`y=-1/3x-19/3`.