Question

what is the slope of this line? simplify your answer and write it as a proper fraction, improper fraction, or integer.

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 the two points

We have two points: \((-5, -3)\) and \((1, 3)\). Let \((x_1, y_1)=(-5, -3)\) and \((x_2, y_2)=(1, 3)\).

Step3: Substitute into the formula

Substitute the values into the slope formula: \( m=\frac{3 - (-3)}{1 - (-5)} \).
Simplify the numerator and denominator: \( 3 - (-3)=3 + 3 = 6 \) and \( 1 - (-5)=1 + 5 = 6 \).
So, \( m=\frac{6}{6}=1 \).

Answer:

1