Compare the following functions.
Equation A: 6x+2y=14
Equation B: 12x−4y=−8
Which statement about the functions is true?
(1 point)
Responses
The y-intercepts of both functions are the same
The slopes and the y-intercepts of both funcations are the same
The slopes and the y-intercepts of both functions are different
The slopes of both functions are the same
The correct answer is "The slopes of both functions are the same."
For equation A: 6x + 2y = 14, if we isolate y, we get y = (-6/2)x + 7, which simplifies to y = -3x + 7. The slope of this function is -3.
For equation B: 12x - 4y = -8, if we isolate y, we get y = (12/4)x + 2, which simplifies to y = 3x + 2. The slope of this function is 3.
Since the slopes of both functions are different, the correct statement is that the slopes of both functions are the same.