Question

(-5, -3); slope = -3/5writing linear equations

Answer 1

To find the equation, we use the point-slope formula.

$y-y_1=m(x-x_1)$

Where,

$\begin{gathered} m=-\frac{3}{5} \\ x_1=-5 \\ y_1=-3 \end{gathered}$

Let's replace them.

$\begin{gathered} y-(-3)=-\frac{3}{5}(x-(-5)) \\ y+3=-\frac{3}{5}x-3 \\ y=-\frac{3}{5}x-3-3 \\ y=-\frac{3}{5}x-6 \end{gathered}$

Therefore, the equation is

$y=-\frac{3}{5}x-6$