Question

what is the slope of ab when a is (-3, 4) and b is (0, -2)?
○ 2
○ 1
○ -2
○ -1
○ none of the choices are correct.

Explanation:

Step1: Recall slope formula

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

Step2: Identify coordinates

Here, \( A(-3, 4) \) so \( x_1 = -3, y_1 = 4 \); \( B(0, -2) \) so \( x_2 = 0, y_2 = -2 \).

Step3: Substitute into formula

\( m = \frac{-2 - 4}{0 - (-3)} = \frac{-6}{3} = -2 \).

Answer:

-2 (corresponding to the option " -2 ")