Question

the slope of the line determined by the points (-3, 2) and (2, -3) is
zero
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1
-1

Explanation:

Step1: Recall the 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 coordinates

Here, \( x_1=-3 \), \( y_1 = 2 \), \( x_2=2 \), \( y_2=-3 \).

Step3: Substitute into the formula

Substitute the values into the slope formula: \( m=\frac{-3 - 2}{2-(-3)}=\frac{-5}{5}=-1 \).

Answer:

\(-1\) (corresponding to the option with \(-1\))