Question

what is the slope of the line that passes through the points (-4,5) and (-7,8)? write your answer in simplest form.
answer attempt 1 out of 2
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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

Let \( (x_1, y_1)=(-4, 5) \) and \( (x_2, y_2)=(-7, 8) \).

Step3: Substitute into formula

\( m=\frac{8 - 5}{-7 - (-4)}=\frac{3}{-7 + 4}=\frac{3}{-3}=-1 \).

Answer:

\(-1\)