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What is the slope between the points (3, -5) and (-1, 7)?
a) 3
b) -2
c) -3
d) 2

User Escapedcat
by
6.8k points

2 Answers

4 votes

Final answer:

The slope between the points (3, -5) and (-1, 7) is found using the slope formula and results in a slope of -3.

The correct answer is C.

Step-by-step explanation:

The slope of a line passing through two points can be found using the slope formula which is (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. In this case, the points are (3, -5) and (-1, 7).

To find the slope between (3, -5) and (-1, 7), follow these steps:

  1. Subtract the y-coordinate of the second point from the y-coordinate of the first point: 7 - (-5) = 7 + 5 = 12.
  2. Subtract the x-coordinate of the second point from the x-coordinate of the first point: -1 - 3 = -4.
  3. Divide the difference in y-coordinates by the difference in x-coordinates: 12 / (-4) = -3.

Therefore, the slope between these two points is -3, which corresponds to option c).

J11

User Shunty
by
7.6k points
5 votes

Final answer:

The slope between the points (3, -5) and (-1, 7) is calculated using the slope formula and is found to be -3. The correct option is c.

Step-by-step explanation:

To find the slope between the points (3, -5) and (-1, 7), we apply the slope formula:

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

Where (x1, y1) is the first point and (x2, y2) is the second point.

Using the points given:

m = (7 - (-5)) / (-1 - 3)

m = (12) / (-4)

m = -3

Thus, the slope of the line between the two points is -3, which corresponds to option C. The correct option is c.

User Buttercup
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8.0k points