Question

what is the slope of the line that passes through points (-1,-5) and (1,3)? type your answer in the boxes

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 \((x_1, y_1) = (-1, -5)\) and \((x_2, y_2) = (1, 3)\).

Step3: Substitute into formula

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

Step4: Simplify numerator and denominator

Simplify the numerator: \( 3 - (-5) = 3 + 5 = 8 \).
Simplify the denominator: \( 1 - (-1) = 1 + 1 = 2 \).

Step5: Calculate slope

Now, \( m = \frac{8}{2} = 4 \).

Answer:

4