i don't know the answer to this

Question

What is the answer to this?

Passes through (-9,2), parallel to y=-2/3x+1

Answer 1

So, Jessica, for this we need to use the point-slope formula.  It looks like this:

 

y - y₁ = m(x - x₁)

 

That looks confusing, but here we go.

 

The just plain "y" and "x" stay that way.  The x₁ and y₁ come from our point.  m is our slope, remember?

 

So, y - 2 = -2/3(x -(-9))

 

Distributing on the right, we get

 

y - 2 = -2/3x + 18/3

 

We can change 2 to 6/3 to make things easier. Now we have

 

y - 6/3 = -2/3x + 18/3

 

We want the y by itself, so we add 6/3 to both sides.

 

y = -2/3x + 24/3

 

24/3 = 8, so our equation is

 

y = -2/3x + 8

 

Hope this helps!!