Answer:
The slope of f(x) is equal to the slope of g(x).
Explanation:
The question is incomplete. Here is the complete question.
Compare the slopes of the linear functions f(x) and g(x) and choose the answer that best describes them.
a graph of a line labeled f of x passing through 0, negative 1 and 3, 1
x g(x)
0 2
3 4
6 6
Slope is defined as the change of the y axis to the z axis of a plane.
Slope = ∆y/∆x
Slope = y2-y1/x2-x1
For f(x) with coordinates (0, -1) and (3,1)
x1 = 0, y1 = -1, x2 = 3 and y2 = 1
Slope of f(x) = 1-(-1)/3-0
Slope = 1+1/3
Slope = 2/3
For g(x), we will choose any two of the coordinates from the table. Using the coordinates (3,4) and (6,6)
x1 = 3, y1 = 4, x2 = 6 and y2 = 6
Slope of g(x) = 6-4/6-3
Slope of g(x) = 2/3
It can be seen that the value of both slopes are equal. Hence, the slope of f(x) is equal to the slope of g(x) is the correct option.