## anonymous one year ago write an equation of each line

1. anonymous

$slope=\frac{ 3 }{ 5} ; through (-4,0)$

2. jim_thompson5910

Point slope form $\Large y-y_1 = m\left(x-x_1\right)$ Plug in the given slope $\Large y-y_1 = \frac{3}{5}\left(x-x_1\right)$ and the given point $\Large y-0 = \frac{3}{5}\left(x-(-4)\right)$ from here solve for y

3. jim_thompson5910

Try to get the equation into the form y=mx+b

4. anonymous

m= -5/5=(-4,0) y=5/ ?????

5. jim_thompson5910

you agree that x-(-4) turns into x+4 right?

6. anonymous

yes

7. jim_thompson5910

and the y-0 is simply y

8. jim_thompson5910

So, $\Large y-0 = \frac{3}{5}\left(x-(-4)\right)$ $\Large y = \frac{3}{5}\left(x+4\right)$ $\Large y = \frac{3}{5}x+\frac{3}{5}*4 \ \ ... \ \text{distribute}$ $\Large y = \frac{3}{5}x+\frac{3}{5}*\frac{4}{1}$ $\Large y = \frac{3}{5}x+\frac{3*4}{5*1}$ $\Large y = \frac{3}{5}x+\frac{12}{5}$