Question

I just need the Point-Slope Form equation

Answer 1

The point-slope equation formula is $(y - y_1) = m(x - x_1)$, where $m$ is the slope of the line and $(x_1, y_1)$ is a point on the line.

In our problem, we are adding $200 for each week $x$, or we are changing each week by +200. This means that our slope $m$, which is essentially the change of the line, is 200. The problem also gave us a coordinate point on the line, which was that at week 4, or when $x = 4$, we have $1700 in the account, or $y = 1700$. Thus, the coordinate point is $(4, 1700)$.

Using this information, we can find the equation of the line:

$(y - 1700) = 200(x - 4)$

The answer is (y - 1700) = 200(x - 4).