Question

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

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 coordinates

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

Step3: Substitute into formula

Substitute the values into the slope formula: \( m = \frac{8 - 5}{-7 - (-4)} \).

Step4: Simplify numerator and denominator

Simplify the numerator: \( 8 - 5 = 3 \).
Simplify the denominator: \( -7 - (-4)=-7 + 4=-3 \).

Step5: Calculate slope

Now, \( m=\frac{3}{-3}=-1 \).

Answer:

\(-1\)