Therefore, the slope of our line is 2. This means for
each positive change of 1 unit in the x variable, the y
variable will increase 2 units. Remember, you can choose any two
points on the line to calculate the slope. Using the graph above,
calculate the slope using the Origin (0, 0) and point R (2, 4).
If the Origin (0, 0) is selected to be (x1, y1)
and R (2, 4) to be the point (x2,
y2), our resulting
slope comes out to be:
What is the slope of the line given in the graph?
- Step One:
Identify two points on the line.
Let's calculate the slope of the line in the graph above using
the points A (1, 2) and B (3, 6).
- Step Two:
Select one to be (x1, y1)
and the other to be (x2, y2).
Let's take A (1, 2) to be (x1,
y1). Let's take the
point B (3, 6) to be the point (x2,
- Step Three:
Use the equation to calculate slope.
Again the slope is 2. You will find that regardless of what
two points you choose on a given straight line to calculate a
slope, your answer will always be the same. The slope for a given
line is a constant.
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