Final answer:
The slope of a line passing through the points (-7,2) and (7,6) is calculated using the slope formula and is found to be 2/7.
Step-by-step explanation:
The slope of a line that passes through two given points can be calculated using the difference in the y-coordinates (rise) divided by the difference in the x-coordinates (run). Specifically, the formula for the slope, often represented by the letter m, is given by:
m = (y2 - y1) / (x2 - x1)
Applying this formula to the points (-7,2) and (7,6), we calculate:
m = (6 - 2) / (7 - (-7))
m = 4 / 14
m = 2 / 7
So, the slope of the line passing through the points (-7,2) and (7,6) is 2/7.