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 points

We have two points: \((x_1, y_1) = (-1, -3)\) and \((x_2, y_2) = (2, 6)\).

Step3: Substitute into the formula

Substitute the values into the slope formula: \( m = \frac{6 - (-3)}{2 - (-1)} \).
Simplify the numerator and denominator: \( 6 - (-3) = 6 + 3 = 9 \) and \( 2 - (-1) = 2 + 1 = 3 \).
So, \( m = \frac{9}{3} = 3 \).

Answer:

3