Question

ne lines graphed below.
2.
5.

etween the given two points.

1. (-7, -13) and (1, -5)
2. (8, 3)
3. (-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

For the points \((-7, -13)\) and \((1, -5)\), we have \( x_1=-7 \), \( y_1 = - 13 \), \( x_2=1 \), \( y_2=-5 \).

Step3: Substitute into the formula

Substitute the values into the slope formula: \( m=\frac{-5-(-13)}{1-(-7)} \).

Step4: Simplify the numerator and denominator

Simplify the numerator: \(-5 - (-13)=-5 + 13 = 8\).
Simplify the denominator: \(1-(-7)=1 + 7 = 8\).

Step5: Calculate the slope

Now, \( m=\frac{8}{8}=1 \).

Answer:

The slope between the points \((-7, -13)\) and \((1, -5)\) is \( 1 \).