Answer:
The unit rate is \(\frac{5}{4}\)
Step-by-step explanation:
we know that
The unit rate of the proportional relationship shown in the graph is equal to the slope of the line
The formula to calculate the slope between two points is equal to
\(m=\frac{y2-y1}{x2-x1}\)
we have
\(A(0,0)\ B(8,10)\)
Substitute the values
\(m=\frac{10-0}{8-0}\)
\(m=\frac{10}{8}\)
\(m=\frac{5}{4}\)
The equation of the linear direct variation is
\(y=\frac{5}{4}x\)
