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 \((0, -6)\) and \((18, 0)\).

Step2: Use the slope formula

The slope \(m\) of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \(m=\frac{y_2 - y_1}{x_2 - x_1}\).
Substituting \(x_1 = 0\), \(y_1=-6\), \(x_2 = 18\), and \(y_2 = 0\) into the formula, we get:
\(m=\frac{0 - (-6)}{18 - 0}=\frac{6}{18}\)

Step3: Simplify the fraction

Simplify \(\frac{6}{18}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 6.
\(\frac{6\div6}{18\div6}=\frac{1}{3}\)

Answer:

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