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.

Given:
Point are (7,69) and (12,34)
So the slope is:
[tex]\begin{gathered} m=\text{slope } \\ m=\frac{y_2-y_1}{x_2-x_1} \\ (x_1,y_1)=\text{ First point} \\ (x_2,y_2)\text{ = second point} \end{gathered}[/tex]Here:
[tex]\begin{gathered} x_1=7 \\ y_1=69 \\ x_2=12 \\ y_2=34 \end{gathered}[/tex][tex]\begin{gathered} m=\frac{34-69}{12-7} \\ m=\frac{-35}{5} \\ m=-7 \end{gathered}[/tex]Equation of line:
[tex]\begin{gathered} y=mx+c \\ (7,69) \\ 69=-7(7)+c \\ c=118 \end{gathered}[/tex][tex]\begin{gathered} y=mx+c \\ y=-7x+118 \end{gathered}[/tex]