Answer:
Concept:
The formula used to calculate the equation of a line when two points are given is given below as
[tex]\begin{gathered} \frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1} \\ \end{gathered}[/tex]
Where the coordinates are given are
[tex]\begin{gathered} (x_1,y_1)\Rightarrow(8,0) \\ (x_2,y_2)\Rightarrow(4,4) \end{gathered}[/tex]
By substituting the values, we will have
[tex]\begin{gathered} \frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1} \\ \frac{y-0}{x-8}=\frac{4-0}{4-8} \\ \frac{y}{x-8}=\frac{4}{-4} \\ \frac{y}{x-8}=-1 \\ \text{cross multiply,we will have} \\ y=-1(x-8) \\ y=-x+8 \end{gathered}[/tex]
Hence,
The equation of the line is y =-x+8
By graphing the line, we will have the image to be given below as
