Question

Use the points (7,69) and (12,34) from the following data set to determine the point slope form of an equation that represents the data set.

Answer 1

Given:

Point are (7,69) and (12,34)

So the slope is:

`\begin{gathered} m=\text{slope } \\ m=(y_2-y_1)/(x_2-x_1) \\ (x_1,y_1)=\text{ First point} \\ (x_2,y_2)\text{ = second point} \end{gathered}`

Here:

`\begin{gathered} x_1=7 \\ y_1=69 \\ x_2=12 \\ y_2=34 \end{gathered}`
`\begin{gathered} m=(34-69)/(12-7) \\ m=(-35)/(5) \\ m=-7 \end{gathered}`

Equation of line:

`\begin{gathered} y=mx+c \\ (7,69) \\ 69=-7(7)+c \\ c=118 \end{gathered}`
`\begin{gathered} y=mx+c \\ y=-7x+118 \end{gathered}`