We have to find the equation of the line in the graph.
We know two points of the line: (-2,5) and (6,3).
With them we can calculate the slope m as:
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \\ m=\frac{3-5}{6-(-2)}=-\frac{2}{8}=-\frac{1}{4}=-0.25 \end{gathered}[/tex]
We can use any of the points and the slope to write the equation in slope-point form and then rearrange as:
[tex]\begin{gathered} y-y_0=m(x-x_0) \\ y-3=-0.25(x-6) \\ y-3=-0.25x+1.5 \\ y=-0.25x+1.5+3 \\ y=-0.25x+4.5 \end{gathered}[/tex]
Answer: the equation of the line is y = -0.25x + 4.5
