Question

Which of the following equations represents a linear proportional function?

a. y = 2x + 3
b. 2y = x + 10
c. y = 5x
d. y = 4x + 2

Answer 1

The equation y = 5x represents a linear proportional function.

Step-by-step explanation:

A linear proportional function is represented by an equation of the form y = mx, where m is the slope of the line. Looking at the options:

a. y = 2x + 3 - This is not a linear proportional function because it has a constant term of 3.

b. 2y = x + 10 - This is not a linear proportional function because the coefficient of y is 2, not 1.

c. y = 5x - This is a linear proportional function because it has the form y = mx with m = 5.

d. y = 4x + 2 - This is not a linear proportional function because it has a constant term of 2.

Therefore, the correct answer is c. y = 5x.