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 \((0, -5)\) and \((-1, 0)\). Let's denote \((x_1, y_1) = (0, -5)\) and \((x_2, y_2) = (-1, 0)\).

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

Substitute the values of \(x_1, y_1, x_2, y_2\) into the formula:
\(m=\frac{0 - (-5)}{-1 - 0}=\frac{0 + 5}{-1}=\frac{5}{-1}=- 5\)

Answer:

\(-5\)