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.

Use the points 769 and 1234 from the following data set to determine the point slope form of an equation that represents the data set class=

Respuesta :

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]