Question

what is the slope of this line? is the slope positive or negative? a) positive b) negative slope: $\frac{rise}{run}$

Explanation:

Step1: Identify two points on the line

Let's take the points (0, 3) and (1, 1).

Step2: Calculate the rise and run

Rise = \(y_2 - y_1=1 - 3=- 2\), run = \(x_2 - x_1=1 - 0 = 1\).

Step3: Calculate the slope

Slope \(m=\frac{\text{rise}}{\text{run}}=\frac{-2}{1}=-2\). Since the slope is negative, for the question about positive - negative nature:

Step4: Determine sign of slope

As the slope \(m=-2<0\), the slope is negative.

Answer:

Slope: -2
Is the slope positive or negative: b) negative