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, 1) and (1, 3).

Step2: Calculate the rise and run

Rise = change in y - values = 3 - 1=2. Run = change in x - values = 1 - 0 = 1.

Step3: Calculate the slope

Slope $m=\frac{\text{rise}}{\text{run}}=\frac{2}{1}=2$.

Step4: Determine the sign of the slope

Since the line goes up from left - to - right, the slope is positive.

Answer:

Slope: 2
a) positive