Answer:
\(y=-\frac{3}{4}x\)
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form \(y/x=k\) or \(y=kx\)
In a direct variation the constant of proportionality k is equal to the slope m and the line passes through the origin
In this problem the line passes through the origin
therefore
The linear equation of the figure represent a direct variation
Let
\(A(0,0),B(4,-3)\)
Find the slope m
The formula to calculate the slope between two points is equal to
\(m=\frac{y2-y1}{x2-x1}\)
substitute
\(m=\frac{-3-0}{4-0}\)
\(m=-\frac{3}{4}\)
The equation of the line is equal to
\(y=-\frac{3}{4}x\)
