5 examples of what you find slope to be
To find the slope, you need two points on a line. The slope measures the steepness of the line, and it is calculated by finding the difference in the y-coordinates (vertical change) divided by the difference in the x-coordinates (horizontal change) between the two points.
Here are 5 examples of finding slope using different pairs of points:
1. Example 1:
Given two points: P1(2, 4) and P2(6, 10)
Slope = (y2 - y1) / (x2 - x1) = (10 - 4) / (6 - 2) = 6 / 4 = 1.5
2. Example 2:
Given two points: P1(-3, 2) and P2(5, -4)
Slope = (y2 - y1) / (x2 - x1) = (-4 - 2) / (5 - (-3)) = -6 / 8 = -0.75
3. Example 3:
Given two points: P1(0, 2) and P2(-4, 2)
Slope = (y2 - y1) / (x2 - x1) = (2 - 2) / (-4 - 0) = 0 / -4 = 0
4. Example 4:
Given two points: P1(3, -5) and P2(3, 7)
Slope = (y2 - y1) / (x2 - x1) = (7 - (-5)) / (3 - 3) = 12 / 0
The slope is undefined in this case because the denominator is zero. This indicates a vertical line.
5. Example 5:
Given two points: P1(-2, 1) and P2(4, 1)
Slope = (y2 - y1) / (x2 - x1) = (1 - 1) / (4 - (-2)) = 0 / 6 = 0
Remember to use the slope formula and plug in the values of the points to find the slope accurately.