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What is the slope of the line that contains points (2,9) and (8,7)?

A) Slope = -3
B) Slope = 3
C) Slope = -13
D) Slope = 13

User TheLaw
by
6.8k points

1 Answer

2 votes

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.

User SeniorJD
by
7.4k points