Question

what is the slope of the line if the line passes through -5, -3 and -5,3, the line is positive

Answer 1

To find the slope of a line, we use the formula for slope \( m \):

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Given the points \((-5, -3)\) and \((-5, 3)\):

- Point 1: \( (x_1, y_1) = (-5, -3) \)
- Point 2: \( (x_2, y_2) = (-5, 3) \)

Substituting these values into the slope formula:

\[
m = \frac{3 - (-3)}{-5 - (-5)} = \frac{3 + 3}{-5 + 5} = \frac{6}{0}
\]

Since dividing by zero is undefined, the slope of the line is undefined.

Additionally, since both points have the same x-coordinate (-5), this indicates that the line is vertical. Vertical lines do not have a defined slope, and they are neither positive nor negative.