Final answer:
The slope of the line passing through the points (2,9) and (8,7) is calculated using the slope formula and simplifies to -1/3. However, this option isn't listed among the answers provided, so there might be an error in the options given.
Step-by-step explanation:
To calculate the slope of a line passing through two points, you would use the slope formula m = (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.
In this case, the coordinates given are (2,9) and (8,7). Applying the formula:
- Let x1 = 2, y1 = 9, x2 = 8, and y2 = 7.
- Now substitute the values into the formula: m = (7 - 9)/(8 - 2).
- The difference in the y-values (rise) is 7 - 9 = -2.
- The difference in the x-values (run) is 8 - 2 = 6.
- So, the slope m = -2/6, which simplifies to m = -1/3.
Now we need to compare this to the answer choices given:
- A) Slope = -3
- B) Slope = 3
- C) Slope = -1/3
- D) Slope = 1/3
The correct answer is not listed directly in the choices. The correct slope is -1/3, which is closest to option C, but the actual options should be corrected to include this value.