# Homework Help: Check my algebra really quick :o

1. Oct 29, 2009

### iamsmooth

1. The problem statement, all variables and given/known data
$$y-\frac{9}{2}=\frac{16}{15}(x-4)$$

2. Relevant equations
y = mx+b?

3. The attempt at a solution

$$y-\frac{9}{2}=\frac{16}{15}(x-4)$$

$$15y-\frac{135}{2} = 16(x-4)$$

$$15y-\frac{135}{2} = 16x-64$$

$$30y-135=32x-128$$

$$30y-32x=7$$

The book says the answer is $32x + 30y = 263$, which I can't get because of the negative sign. So either my algebra sucks, the given answer is wrong, or my original equation isn't right, but it should be since I'm given the points $(4,\frac{9}{2})$ and the slope is $\frac{16}{15}$.

2. Oct 29, 2009

### Pengwuino

Looks right, what was the original question?

3. Oct 29, 2009

### iamsmooth

Oh yup, I screwed up the equation. The original question is a derivative where I had to figure out the equations for the tangent and normals of a line. I got 15/16 for slope and to get the normal, I just inverted it to get 16/15, when a normal is actually -1/slope which makes it -16/15. So that one wrong sign messed everything up. I was doubting my algebra...

Anyways thanks a lot :D