Question

Graph the line that represents a proportional relationship between Y And x where the unit rate of change of y with their respective x is 3/8. In other words a change of one unit in x corresponds to a change of 38 units and Y graph the line and write the equation of the line

Answer 1

Answer:

$y=\frac{3}{8}x$    

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 $k=\frac{y}{x}$ or $y=kx$

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

Remember that

The unit rate of change is the same as the slope

so

In this problem

$m=\frac{3}{8}$

The linear equation is equal to

$y=\frac{3}{8}x$

To graph the line we need two points

we have (0,0) because the line passes through the origin

Determine other point

assume a value of x and calculate the value of y

For x=8

$y=\frac{3}{8}(8)=3$

The other point is (8,3)

Plot the points and join them to draw the line

The graph in the attached figure