Which of the following are the correct properties of slope? check all that apply. a. lines that have positive slopes and are equally steep should have the same slope. b. the slope of a steep line with a positive slope should be bigger than the slope of a flat line. c. the slope of a steep line with a positive slope should be smaller than the slope of a flat line. d. lines that go up from left to right should have a positive slope. e. lines that go down from left to right should have a negative slope.

"A. Lines that have positive slopes and are equally steep should have the same slope."

Correct. if 2 lines are equally steep, but with different sign, while one of them is increasing, the other is decreasing. So having the same sign in important.

"B. The slope of a steep line with a positive slope should be bigger than the slope of a flat line."

Correct. The slope of a flat line is 0, while a positive slope, means a positive number, which is always >0.

"C. The slope of a steep line with a positive slope should be smaller than the slope of a flat line."

Not correct. If the slope of a line is smaller than the slope of a flat line, that is 0, then it is a negative slope.

"D. Lines that go up from left to right should have a positive slope. "

Correct, increasing lines have positive slope.

"E. Lines that go down from left to right should have a negative slope."

Correct, decreasing lines have negative slope.

Answers:

A. True

B. True

C. False

D. True

E. True