Question

How do I write an equation for? Slope= -1/3, passing through (2,-7)

Answer 1

`y=-1/3x - 19/3`

Explanation:

Let's start off with point-slope form.
`(y-y_1)=m(x-x_1)`
where `y_1` and `x_1` are points on the line and `m` is the slope.
We can plug in the information we have into this equation.
`y-(-7)=-1/3(x-2)`
or
`y+7=-1/3(x-2)`
If you want to convert this to slope-intercept form, you would simply solve for y
`y+7=-1/3x+2/3`

`y=-1/3x - 19/3`