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 y - intercept \((0, 9)\) and another point \((24, 0)\).

Step2: Use the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\), where \((x_1,y_1)=(0, 9)\) and \((x_2,y_2)=(24, 0)\).
Substitute the values into the formula: \(m=\frac{0 - 9}{24 - 0}\)

Step3: Simplify the expression

Simplify the numerator and the denominator: \(m=\frac{- 9}{24}\)
We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 3. So \(\frac{-9\div3}{24\div3}=\frac{-3}{8}\)

Answer:

\(-\frac{3}{8}\)