Graph the line that represents a proportional relationship between yyy and xxx where the unit rate of change of yyy with respect
to xxx is \,\dfrac{10}{7} 7
10
start fraction, 10, divided by, 7, end fraction . In other words, a change of 111 unit in xxx corresponds to a change of \,\dfrac{10}{7}
7
10
start fraction, 10, divided by, 7, end fraction units in yyy.
A line that represents a proportional relationship between y and x has the following form: y = k*x, where k is he unit rate of change of y with respect to x.
Replacing with k = 10/7, we get:
y = (10/7)*x
We can check that a change of 1 unit in x corresponds to a change of 10/7 units in y, replacing with x = 1 into the equation: