Question

What is the slope of the line that passes through the points (5,−4) and (7, -4) ?Write your answer in simplest form.

Answer 1

Answer:

Undefined

Step-by-step explanation:

$\boxed{slope = \frac{y1 - y2}{x1 - x2} }$

☆ (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate.

Slope of the line

$=\frac{ - 4 - ( - 4)}{7 - 5} \\ =\frac{ - 4 + 4}{2} \\ = \frac{0}{2} \\ (undefined)$

Thus, the slope of the line is undefined.

(Since 2 cannot be divided by zero)

Notice that the two coordinates have the same y- coordinate of -4. This means that the line is a vertical line. Vertical lines have undefined slopes.