Question

question 1 of 10
which of the following are the correct properties of slope?
check all that apply.
□ a. the slope of a flat line is smaller than the slope of a steep line with a positive slope.
□ b. the slope of a flat line should be exactly 0.
□ c. a negative slope means that the line moves up from left to right.
□ d. a negative slope means that the line moves down from left to right.
□ e. the slope of a flat line is undefined.

Explanation:

Step1: Analyze flat - line slope

A flat line has a slope of 0. A steep line with positive slope has a large positive value. So the slope of a flat line is smaller than a positive - sloped steep line. Also, the slope of a flat line is 0, not undefined.

Step2: Analyze negative - slope property

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. For a negative slope, as $x$ increases (moves from left to right), $y$ decreases, so the line moves down from left to right.

Answer:

A. The slope of a flat line is smaller than the slope of a steep line with a positive slope.
B. The slope of a flat line should be exactly 0.
D. A negative slope means that the line moves down from left to right.