Exploring Slope — Quiz

Question 10 • Mathematics 8

A line passes through the points open paren 7 comma 10 close paren and open paren 7 comma 20 close paren Which statement is true about the line?

Answer

It has a slope of zero because x sub 2 minus x sub 1 in the formula m is equal to the fraction with numerator y sub 2 minus y sub 1 and denominator x sub 2 minus x sub 1 is zero, and the numerator of a fraction cannot be zero.

It has a slope of zero because x sub 2 minus x sub 1 in the formula m is equal to the fraction with numerator y sub 2 minus y sub 1 and denominator x sub 2 minus x sub 1 is zero, and the denominator of a fraction cannot be zero.

It has no slope because x sub 2 minus x sub 1 in the formula m is equal to the fraction with numerator y sub 2 minus y sub 1 and denominator x sub 2 minus x sub 1 is zero, and the numerator of a fraction cannot be zero.

It has no slope because x sub 2 minus x sub 1 in the formula m is equal to the fraction with numerator y sub 2 minus y sub 1 and denominator x sub 2 minus x sub 1 is zero, and the denominator of a fraction cannot be zero.

Explanation

Using the slope formula, m = (y₂ − y₁)/(x₂ − x₁), the points give m = (20 − 10)/(7 − 7) = 10/0. A fraction with a denominator of zero is undefined, so the line has no slope. This is the vertical line x = 7, matching choice D.

AI-written and checked against the verified answer.

Back to All Questions

More from this Course

Quiz

Quiz

Quiz