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 the points \((-4, -4)\) and \((0, -6)\). Let \((x_1, y_1)=(-4, -4)\) and \((x_2, y_2)=(0, -6)\).

Step3: Substitute into the formula

Substitute the values into the slope formula: \( m=\frac{-6 - (-4)}{0 - (-4)} \).
Simplify the numerator and denominator: \( -6 - (-4)=-6 + 4=-2 \) and \( 0 - (-4)=0 + 4 = 4 \).
So, \( m=\frac{-2}{4}=-\frac{1}{2} \).

Answer:

\(-\frac{1}{2}\)