Question

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

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is \( m = \frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify two points

We have points \((-2, 5)\) and \((-1, 0)\). Let \((x_1, y_1) = (-2, 5)\) and \((x_2, y_2) = (-1, 0)\).

Step3: Substitute into formula

Substitute into the slope formula: \( m = \frac{0 - 5}{-1 - (-2)} \).

Step4: Simplify numerator and denominator

Simplify numerator: \( 0 - 5 = -5 \). Simplify denominator: \( -1 - (-2) = -1 + 2 = 1 \).

Step5: Calculate slope

So, \( m = \frac{-5}{1} = -5 \).

Answer:

\(-5\)