Question

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

Answer 1

- The formula for the point-slope equation is:

`(y_2-y_1)/(x_2-x_1)=(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} (-1-19)/(-5-5)=(y-19)/(x-5) \\ \\ -(20)/(-10)=(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)`