Question

How do you find the slope of x-3y= -3?

Answer 1

`m = 1/3`

Explanation:

You can find the slope of this line by rearranging the equation to math slope-intercept form, which for a general form line looks like this

`color(blue)(y = mx + b)`

Your equation looks like this

`x - 3y = -3`

Start by moving `x` to the right-hand side of the equation

`-3y = -x - 3`

Now divide both sides of the equation by `-3` to get `y` alone on the left-hand side

`(color(red)(cancel(color(black)((-3)))) * y)/color(red)(cancel(color(black)((-3)))) = ((-1))/((-3))x + ((-3))/((-3))`

`y = 1/3x + 1`

Compare this euqation to the general form slope-intercept form to get the value of the slope, which in your case is

`m = color(green)(1/3)`