Question

What is the error in the way the calculation of the slope of the two points is set up and/or solved? Please be specific. You will not get full credit if you simply state what the slope should be. You must describe the error to get points for this problem.

Find the slope of the line that contains the points (-4, 10) and (0, 2).

Answer 1

The slope between two points (-4, 10) and (0, 2) is calculated as (2 - 10) / (0 - (-4)) = -2. An error in this calculation would likely be due to improper subtraction order or incorrect fraction simplification.

Step-by-step explanation:

The calculation of the slope of a line that contains two points involves finding the difference in the y-values (rise) and dividing it by the difference in the x-values (run). To find the slope of the line containing the points (-4, 10) and (0, 2), you subtract the y-value of the second point from the y-value of the first point and divide it by the subtraction of the x-value of the second point from the x-value of the first point. This formula is often represented as (y2 - y1) / (x2 - x1).

For the points (-4, 10) and (0, 2), the slope calculation would be:

(2 - 10) / (0 - (-4)) = (-8) / 4 = -2

Hence, the slope of the line is -2. If the calculation was done incorrectly, the error might have been in not subtracting the coordinates in the correct order or not simplifying the fraction fully.