Exploring Slope — Quiz

Question 4 • Mathematics 8

Two sides of a four-sided figure have negative slopes. Which are the endpoints of the sides of this figure?

Answer

open paren negative 4 comma negative 4 close paren , open paren negative 4 comma negative 1 close paren , open paren negative 1 comma negative 4 close paren , open paren negative 1 comma negative 1 close paren

open paren negative 2 comma negative 4 close paren , open paren negative 1 comma negative 1 close paren , open paren 1 comma negative 1 close paren , open paren 2 comma negative 4 close paren

open paren 1 comma 1 close paren , open paren 2 comma 4 close paren , open paren 5 comma 4 close paren , open paren 4 comma 1 close paren

open paren 1 comma 4 close paren , open paren 2 comma 1 close paren , open paren 5 comma 1 close paren , open paren 4 comma 4 close paren

Explanation

In choice D, the endpoints (1, 4) and (2, 1) form a side with slope (1 − 4)/(2 − 1) = −3. The endpoints (4, 4) and (5, 1) form another side with slope (1 − 4)/(5 − 4) = −3. Both slopes are negative, so the correct choice is the set of endpoints (1, 4), (2, 1), (5, 1), and (4, 4).

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