Question

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

Explanation:

Step1: Identify two points on the line

From the graph, we can see that the line passes through the points \((0, 5)\) (the y - intercept) and \((6, 0)\) (where the line crosses the x - axis).

Step2: Use the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\), where \((x_1,y_1)=(0,5)\) and \((x_2,y_2)=(6,0)\).
Substitute the values into the formula: \(m=\frac{0 - 5}{6 - 0}=\frac{- 5}{6}\)

Answer:

\(-\frac{5}{6}\)