Question

write an equation of each line

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

yes

Answer 7

and the `y-0` is simply `y`

Answer 8

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