Page 1 of 2
Source: College Mathematics
, Rockswold G., Bennett J., and Briggs W.
C:/CLASES_COLEGIO/2007/NOTAS/0102/
01/12/07
Math 1332  College Mathematics
Chapter 22 Notes
Equations of Lines
Today, we discuss how equations of lines can be determined and some of their applications.
PointSlope Form
of the equation of a line – line with slope m passing through the point
(x
1
,y
1
)
y = m (x – x1) + y1
, or
y  y1 = m (x – x1)
Ex:
SlopeIntercept Form
of the equation of a line – line with slope
m
and
yintercept
b
is given by
y = mx + b
Ex:
Standard Form
of the equation of a line – indicated as
ax + by = c
, where
a
,
b
, and
c
are constants.
Ex:
Recall how to find
x
and
yintercepts
:
•
xintercepts (x,0)
Æ
let
y = 0
in the equation and solve for
x
•
yintercepts (0,y)
Æ
let
x = 0
in the equation and solve for
y
Ex:
Horizontal, Vertical, Parallel, and Perpendicular Lines
Equation of horizontal lines

y = b
, horizontal line with
yintercept b
and slope (
m
) = 0
Equation of vertical lines

x = k
, vertical line with
xintercept k
and slope (
m
) is undefined
Ex:
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Fall '11
 MariselaA.Martinez
 Equations, Slope, College mathematics, ex, Mathematical constant

Click to edit the document details