Question

What are the steps to find the slope of the line passing through the points (2, -4) and (10, 12)?

A) Slope = 2
B) Slope = 16
C) Slope = -2
D) Slope = 1

Answer 1

To find the slope between two points, use the slope formula (y2 - y1) / (x2 - x1), substituting the coordinates of the points. For the points (2, -4) and (10, 12), the calculated slope is 2.

Step-by-step explanation:

To find the slope of the line passing through the points (2, -4) and (10, 12), you need to follow these steps:

1. Identify the coordinates of the two points you are using to calculate the slope. In this case, point 1 is (2, -4) and point 2 is (10, 12).
2. Use the slope formula: slope (m) = (y2 - y1) / (x2 - x1). Here, (x1, y1) is the first point and (x2, y2) is the second point.
3. Substitute the coordinates into the formula: (12 - (-4)) / (10 - 2).
4. Calculate the difference in y-coordinates, which is 12 - (-4) = 16.
5. Calculate the difference in x-coordinates, which is 10 - 2 = 8.
6. Divide the difference in y-coordinates by the difference in x-coordinates: 16 / 8.
7. Therefore, the slope is 2.

The correct answer is A) Slope = 2.