Question

Writing Prompt:Explain how to write an equation in Point-Slope Form using the graph below.

Answer 1

point slope formular is as follows

`\begin{gathered} y-y_1=m(x-x_1) \\ \text{where} \\ m=\text{slope} \end{gathered}`

The point slope form using the graph can be represented below. let us find the slope first

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ m=(400-175)/(8-3) \\ m=(225)/(5)=45 \end{gathered}`

using one point on the graph(3, 175) to represent the point slope equation is represented below

`\begin{gathered} y-175=45(x-3) \\ y-175=45x-135 \\ y=45x-135+175 \\ y=45x+40 \end{gathered}`