Final answer:
The slope of the line passing through the points (12, 2) and (6, 4) is calculated by the formula (y2 - y1) / (x2 - x1), which results in a slope of -1/3.
Step-by-step explanation:
The slope of a line can be determined using any two points on that line. It’s calculated by finding the difference in the y-values (rise) divided by the difference in the x-values (run). For the points (12, 2) and (6, 4), we can calculate the slope by subtracting the second y-coordinate from the first y-coordinate and dividing it by the subtraction of the second x-coordinate from the first x-coordinate.
Step-by-step calculation:
- Identify the coordinates: (12, 2) and (6, 4).
- Compute the differences: y2 - y1 = 4 - 2 and x2 - x1 = 6 - 12.
- Calculate the slope (m) as follows: m = (4 - 2) / (6 - 12) = 2 / (-6).
- Simplify the fraction to obtain the slope in its lowest terms: m = -1/3.
Thus, the slope of the line that goes through the points (12, 2) and (6, 4) is -1/3.