Determine the slope and y-intercept of the function.
-F(x)= -6
A)m = 0; b = -6
B)m = -6; b = 0
C)m = 0; b = 0
D)m = -6; b = -6

Question

Quizplus · Accepted Answer

The function F(x) = -6 is a constant function that always outputs -6 regardless of the value of x. The slope of a constant function is always 0 since the output does not change with any change in the input. Therefore, m = 0. 
The y-intercept is the point where the line crosses the y-axis, which is the point (0, -6). Therefore, b = -6. The function F(x) is a horizontal line with a constant value of -6. The slope of a horizontal line is always 0, so m = 0. The y-intercept is where the line intersects the y-axis, which is -6. Therefore, b = -6. Choice A is the only option with both m = 0 and b = -6.

Determine the Slope and Y-Intercept of the Function