Question

Which of the following represent a horizontal function? Select two answers.

A. 2y=2(x+y)
B. 2x−2y=2x+4
C. x=7
D. y=2
*Explain your reasoning*

Answer 1

B and D

Explanation:

The equation of a horizontal line parallel to the x- axis is

y = c ( c is the value of the y- coordinate the line goes through )

y = 2 ← is in this form → D

and consider

2x - 2y = 2x + 4 ( subtract 2x from both sides )

- 2y = 4 ( divide both sides by - 2 )

y = - 2 ← in the form y = c → B