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 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 two points

From the graph, we have two points: \((3, - 3)\) and \((6, - 2)\). Let \((x_1,y_1)=(3,-3)\) and \((x_2,y_2)=(6,-2)\).

Step3: Substitute into the slope formula

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

Answer:

\(\frac{1}{3}\)