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 formula between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(m=\frac{y_2 - y_1}{x_2 - x_1}\).

Step2: Identify the points

The two points on the line are \((x_1,y_1)=(3,-3)\) and \((x_2,y_2)=(6,-2)\).

Step3: Substitute values into formula

\(m=\frac{-2-(-3)}{6 - 3}=\frac{-2 + 3}{6 - 3}\).

Step4: Simplify the expression

\(m=\frac{1}{3}\).

Answer:

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