Write an equation parallel to y=1/3x+2 through (-9,5)

Question

I really need help on this problem that I’ve been stuck on for a while

Answer 1

If it's parallel it will have the same slope. The slope of this line is 1/3 (it's in y = mx + b form)

Now use point slope form since you have the slope and a point.

Point slope form is y - y₁ = m ( x- x₁ ) where you substitute 1/3 for m and (-9,5) for (x₁ , y₁) to get:

y - 5 = 1/3 ( x - (-5)) = y - 5 = 1/3 (x + 5)

Depending on what form they want the answer in you can rearrange this equation.

They usually want it in y = mx + b form

So distribute the 1/3 to get y - 5 = 1/3 x + 5/3

Now add 5 to both sides to get y = 1/3 x + 20/3. ( 5/3 + 5 = 5/3 + 15/3 = 20/3)