Slope
What is a
slope and how do we find it?
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The slope of a line is the ratio, when
we move between any two points on the
line, of the change in vertical position
over the change in horizontal position.
Finding the
Slope
The line in the graph
of Figure 5.2 has two points P1
and P2
with coordinates (x1,
y1)
and (x2,
y2).
The slope of a line is found by taking
the difference between the y-coordinates
and dividing by the difference between
the x-coordinates.
The slope is equal to m.
The slope is positive if a point on
the line rises as the point moves
from left to right along the line.
However, the slope is negative if
a point on the line falls as the point
moves from left to right along the
line.
The point where the
straight line intersects the x-coordinates
is the root of the equation “mx
+ b = 0”. b
is the y-coordinate
of the point where the line and y-axis
intersect. The point where the line
intersects the y-axis
in the graph is (0, 0).
The equation for
the graph can be written as
where m
= 1/R,
the coefficient of v
in the general linear equation.
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