Decide whether or not each equation represents a proportional relationship a. the remaining length (l) of 120-inch rope after x inches have been cut off: 12o - x = l

see the procedure

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 or

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

we have

The remaining length (L) of 120-inch rope after x inches have been cut off

we have

L ---> is the dependent variable (output variable)

x ---> the independent variable (input variable)

The linear equation is

The equation not represent a proportional relationship, because the line not passes through the origin

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point

a

step-by-step explanation: