Question

what is the slope of this line?
(2, -3) (6, -3)
options: $-\frac{4}{3}$, $\frac{4}{3}$, 0, undefined

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \( m = \frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify the points

We have two points \((2, -3)\) and \((6, -3)\), so \( x_1 = 2 \), \( y_1 = -3 \), \( x_2 = 6 \), \( y_2 = -3 \).

Step3: Calculate the slope

Substitute into the formula: \( m = \frac{-3 - (-3)}{6 - 2} = \frac{0}{4} = 0 \).

Answer:

0