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Using the slope formula, find the slope of the line through the given points two points below:                  (3, 6) and (4, 2)Question 54Answera.-4b.1/4c.4

Question

Using the slope formula, find the slope of the line through the given points two points below:

Points:
(3, 6)
(4, 2)

Question 54
Answer choices:

  • a. -4
  • b. 1/4
  • c. 4
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Solution

The slope of a line through two points (x1, y1) and (x2, y2) is given by the formula:

m = (y2 - y1) / (x2 - x1)

Here, the two points are (3, 6) and (4, 2). So, x1 = 3, y1 = 6, x2 = 4, and y2 = 2.

Substitute these values into the formula:

m = (2 - 6) / (4 - 3) m = (-4) / 1 m = -4

So, the slope of the line through the points (3, 6) and (4, 2) is -4. Therefore, the answer is a. -4.

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