Question

Error Analysis: A student calculated the slope of the line shown to be 2. What is the correct slope?

Answer 1

The correct slope passing through Point 1: (1, 0.1) and Point 2: (7, 26.8) is calculated by finding the rise over run, which results in a slope of 4.45.

Step-by-step explanation:

The correct slope of a line passing through any two points can be calculated using the formula for slope, which is the change in y (rise) divided by the change in x (run). Applying this formula to the provided points, we calculate the slope as follows:

1. Identify the coordinates of the two points. Let's take Point 1: (1, 0.1) and Point 2: (7, 26.8).
2. Calculate the rise by subtracting the y-coordinate of Point 1 from the y-coordinate of Point 2: 26.8 - 0.1 = 26.7.
3. Calculate the run by subtracting the x-coordinate of Point 1 from the x-coordinate of Point 2: 7 - 1 = 6.
4. Divide the rise by the run to get the slope: 26.7 / 6 = 4.45.

Therefore, the correct slope passing through these two points is 4.45, which is option b.

Answer 2

i think between -1/2 or -2

but im very positive for -2