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MA 15200
Lesson 23
Parts of Sections 2.3 and 2.4
I
Review of Equations of Lines
In the last lesson we found two forms for equations of lines
Point-Slope Form:
11
()
y
y
m x x
Slope-Intercept Form:
y
mx b
Any non-vertical line can be written in both of the forms.
Point-Slope Form
An equation of a form
y
y
m x x
is an equation for a line in point-slope form.
The value of
m
is the slope of the line and the ordered pair,
( ,
)
xy
, is an indicated point
of the line.
Slope-Intercept Form
An equation of the form
y
mx b
is an equation for a line in slope-intercept form.
The
value of
m
is the slope of the line and
b
or point (0,
b
) is the
y
-intercept of the line.
Ex 1: Write an equation in point-slope form for the line shown.
Convert to slope-
intercept form.
2
2
x
y

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II
General Form and Standard Forms for of an Equation of a Line
The
General Form of the Equation of a Line is
0
Ax By C
, where
A, B,
and
C
are
integers and
A
is positive.
Some textbooks, have
Standard form
as
Ax By
C

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