We have to find two points from the graph to find the slope of the line equation:
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{0-2}{0-(-4)}=-\frac{2}{4}=-\frac{1}{2}[/tex]
We took the points (-4, 2) and (0, 0)
x1 = -4
y1 = 2
x2 = 0
y2 = 0
Then, using the point-slope form of the line equation, we have, for point (0, 0):
[tex]y-0=-\frac{1}{2}(x-0)\Rightarrow y=-\frac{1}{2}x[/tex]
Then, the constant of variation is k = -1/2 and y = (-1/2)x.
