Which equation shows a proportional relationship between x and y?

y = 7x/4 and y = 2x/3 are proportional.

Step-by-step explanation:

In a proportional relationship, for any value of one variable, the is a corresponding change in value of the other variable. This means that there is a constant variation between both variables.

Looking at the equations given,

Looking at the equations given,

y = 7x/4

If x = 1, y = 7×1/4 = 1.75

If x = 2, y = 7 × 2/4 = 3.5

If x = 3, y = 7 × 3/4 = 5.25

It is proportional because the constant of variation is 1.75

y = 2x/3

If x = 1, y = 2×1/3 = 0.67

If x = 2, y = 2 × 2/3 = 1.33

If x = 3, y = 2 × 3/3 = 2

If x = 4, y = 2 × 4/3 = 2.67

It is proportional because the constant of variation is 0.67

30

step-by-step explanation:

times by times

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0