Question

8. Write an equation parallel to
x - 3y = 9 that passes through the point (3,-1).

Answer 1

Answer: y = (1/3)x-2

Explanation:

You can rearrage the equation to:

`3y=x-9`

Then solve for y:

`y=(1)/(3) x-3`

We now have our slope of 1/3. We can plug in our point and slope to the equation y=mx+b to get the y-intercept:

`-1=(1)/(3)(3)+b`

`-1=1+b`

`b=-2`

Now we have our slope and y-intercept we can form the equation:

`y=(1)/(3)x-2`