Graph is a representation of data by using the vertices and edges to convert the data in easily understandable form. Graph contains two axis, a vertical axis and a horizontal axis. These axis are also denoted as x axis and y axis.
In the given question we have to find the value of k using the points of graph on x axis and y axis.
Given
The graph passes through [tex]\rm\:A (4, -80)[/tex]
Value of [tex]\rm\;x= 4[/tex]
Value of [tex]\rm y=-80[/tex]
Calculation
The value of k can be determined by the graphical intersection of the points on x axis and y axis. By putting the value of x and y in the given equation we got:
[tex]\begin{aligned}\rm\;y&=kx\\\\k(4)&=-80\\\\k&=\dfrac{-80}{4} \\\\k&=-20\end[/tex]
Therefore by putting the values of x and y we found that the value of [tex]\rm\:k=-20[/tex]
Learn more about graphs here:
brainly.com/question/14375099
