Question

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

Explanation:

Step1: Identify two points on the line

From the graph, we can see that the line passes through the points \((2, 0)\) and \((0, -6)\). Let's denote \((x_1, y_1) = (2, 0)\) and \((x_2, y_2) = (0, -6)\).

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 the formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\).

Substitute the values of the points into the formula:
\(m=\frac{-6 - 0}{0 - 2}\)

Step3: Simplify the expression

First, simplify the numerator and the denominator:
\(m=\frac{-6}{-2}\)

Then, divide \(-6\) by \(-2\):
\(m = 3\)

Answer:

\(3\)