Q:

Which of the following are the correct properties of slope? Check all that apply. A. The slope of a flat line should be exactly 0.B. The slope of a flat line is undefined. C. A negative slope means that the line moves up from left to right. D. The slope of a flat line is smaller than the slope of a steep line with a positive slope. E. A negative slope means that the line moves down from left to right.

Accepted Solution

A:
Using linear function concepts, it is found that the correct properties of the slope are given as follows:A. The slope of a flat line should be exactly 0.D. The slope of a flat line is smaller than the slope of a steep line with a positive slope.E. A negative slope means that the line moves down from left to right.What is a linear function?A linear function is modeled by:y = mx + bIn which:m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.As for the slope, we have that:If it is of zero, the line is flat.If it is positive, the line is increasing, that is, it moves up from left to right.If it is negative, the line is decreasing, that is, it moves down from left to right.A steep line has a high slope.Hence, options A, D and E are correct.More can be learned about linear function concepts at