Question

find the slope of the line containing the following pair of points.

\\((6, -4)\\) and \\((5, -7)\\)

select the correct choice below and, if necessary, fill in the answer box to complete your choice.

a. \\(m = \\) (simplify your answer. type an integer or a simplified fraction.)

b. the slope is undefined.

Explanation:

Identify the given points

Using the Slope Formula knowledge point

$$ (x_1, y_1) = (6, -4),\quad (x_2, y_2) = (5, -7) $$

Apply the slope formula

Using the Slope Formula knowledge point

$$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-7 - (-4)}{5 - 6} $$

Simplify the expression

Using the Slope Formula knowledge point

$$ m = \frac{-7 + 4}{-1} = \frac{-3}{-1} = 3 $$

Answer:

• (A) \(m = 3\) (Correct answer)
• (B) The slope is undefined.