Question

find the point slope equation for the line use the first point in your equation

Answer 1

Solution

- The formula for the point-slope equation is:

$\frac{y_2-y_1}{x_2-x_1}=\frac{y-y_1}{x-x_1}$

- We have been given:

$\begin{gathered} (x_1,y_1)=(5,19) \\ (x_2,y_2)=(-5,-1) \end{gathered}$

- Thus, we have the point slope equation to be:

$\begin{gathered} \frac{-1-19}{-5-5}=\frac{y-19}{x-5} \\ \\ -\frac{20}{-10}=\frac{y-19}{x-5}=2 \\ \\ \text{ Cross multiply, we have:} \\ \\ y-19=2(x-5) \end{gathered}$

Final Answer

The answer is

$y-19=2(x-5)$