Question

Find an equation of the line having the given slope and passing through the given point Slope -9 through (-8,-9)

Answer 1

In the question we are given the slope of the line and passing the point that the line passes through as;

$\begin{gathered} m=-9;(x_1y_1)=(-8,-9) \\ \end{gathered}$

To do this, we would use the formula below;

$m=\frac{y-y_1}{x-x_1}$

We can then substitute the given values into the formula above;

$\begin{gathered} -9=\frac{y-(-9)}{x-(-8)} \\ -9=\frac{y+9}{x+8} \\ -9(x+8)=y+9 \\ -9x-72=y+9 \\ y+9x=-81 \end{gathered}$

Therefore the equation of the line is

Answer:

$y+9x=-81$