Question

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{4}{3} 3 4 ​ start fraction, 4, divided by, 3, end fraction . In other words, a change of 111 unit in xxx corresponds to a change of \,\dfrac{4}{3} 3 4 ​ start fraction, 4, divided by, 3, end fraction units in yyy. Graph the line and write the equation of the line. The equation is .

Answer 1

Answer:

0.5

Step-by-step explanation:

Answer 2

Answer:

$y=\frac{4}{3}x$

The graph in the attached figure

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m or unit rate of the line and the line passes through the origin

so

In this problem we have

$k=\frac{4}{3}$

substitute

$y=\frac{4}{3}x$

using a graphing tool

The graph in the attached figure