Linear Equations: Slope And Equations Of Lines Worksheet With Answers - Math 1313 Section 1.1
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19Section 1.1 – Linear Equations: Slope and Equations of Lines
Slope
The measure of the steepness of a line is called the slope of the line. It is the amount of change in
y, the rise, divided by the amount of change in x, the run.
(
)
(
)
Let
, x y and
x y
,
be two arbitrary points on the coordinate plane. The
1
1
2
2
slope of the line that passes through these two points, denoted by m, is given by
y
−
y
rise
vertical change
2
1
,
m
=
=
=
x
x
run
horizontal change
−
2
1
provided that
x
−
x
≠ .
0
2
1
• If the slope is positive, the line rises to the right.
• If the slope is negative, the line falls to the right.
• If the slope is zero, the line is a horizontal line.
• If the slope is undefined, the line is a vertical line. (This occurs when
x
−
x
= .)
0
2
1
Example 1:
Find the slope of each line shown below.
A.
B.
C.
Math 1313
Page 1 of 19
Section 1.1
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