or slope of a line is the ratio of the vertical change to the
of a line can be determined if two points on that line are provided.
Algebraically, this can be calculated
by the formula:
where m represents the slope, the
numerator shows the y, and the
indicates the x.
the points (3, 5) and (-1, 4) are both contained on the same line,
slope of this line is
Basic Types of Slope
Positive Slope: the line rises to the right
Negative Slope: the line falls to the right
Zero Slope: the line is horizontal (every y-coordinate is the same)
Undefined Slope: the line is vertical (every x-coordinate is the same)
Slope in Excel
Given two x-coordinates and
two y-coordinates, we can also use Excel to find the slope of
to learn how to find slope using Excel.
and Perpendicular Lines
(Slopes are Equal)
(Slopes are Opposite Reciprocals)
for both lines m = 2
m = -1 and m = 1
Given a Line
Find 2 clearly defined points. Determine
the necessary rise and run to get from one point to the other.
Find (0, -3). In order to get from this
point to (1, 1), you must rise 3 times and run 1 time.
Find (0, 1). Getting from this point to
(3, -1) requires that you rise -2 and run 3.
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