Question

remember, the slope is the change in vertical distance for a given change in horizontal distance. we can use any two points on the line to find the slope. label the coordinates of the two points on the graph below.
elevation (feet), c
slope = \frac{vertical distance}{horizontal distance}

Explanation:

Step1: Identify lower point coordinates

The first (lower) blue dot aligns with $x=1$, $y=14$, so coordinates are $(1, 14)$.

Step2: Identify upper point coordinates

The second (upper) blue dot aligns with $x=2$, $y=22$, so coordinates are $(2, 22)$.

Step3: Calculate vertical distance

Subtract $y$-values: $22 - 14 = 8$

Step4: Calculate horizontal distance

Subtract $x$-values: $2 - 1 = 1$

Step5: Compute the slope

Use slope formula: $\text{slope} = \frac{\text{vertical distance}}{\text{horizontal distance}} = \frac{8}{1} = 8$

Answer:

Labeled points: $(1, 14)$ and $(2, 22)$
Slope = $8$