Question

3|y-5|-9=0 written in standard form

Answer 1

This isn't as difficult as it sounds. First, we need to find the slope so we do

 

(y(2)-y(1))/(x(2)-x(1)) and plug in using the points we have:  

 

(-3-3)/(2-0) = -6/2 = -3

 

Now we use the point slope formula which is y – y1 = m(x – x1)

 

From this, we again plug in using one point and the slope we have. Let's choose (0,3) because it's simpler.  

 

We get: y-3 = -3 (x-0)  

y - 3 = -3x

y = -3x + 3

 

I hope this helps. :)

Answer 2

Add 9 to both sides to get 3 |y-5| = 9. Divide both sides by 3 to get |y-5| = 3. Now get both positive and negatives of the absolute. y-5 = -3. Add 5 to both sides to get y = 2. Now do the original equation. Add 5 to 3 to get 8. Y = 2 or 8.