Warm-Up Writing Linear Equations - Edgenuity Inc.
Warm-Up Writing Linear Equations
?
Lesson
Question
Lesson Goals
Examine the different
of linear equations that
can be written given various pieces of information.
Write a linear equation
given two
.
Use two methods to write
the
-intercept
form of a line.
Model real-world functions
given various pieces of information.
W2K
Words to Know
Fill in this table as you work through the lesson. You may also use the glossary to
help you.
the form + = , where , and are real numbers such that and are not both zero, is positive if it is not zero, and the greatest common factor of , , and is 1
a linear relation written as - 1 = - 1 , where is the slope and (1, 1) is a point on the line
? Edgenuity, Inc.
1
Warm-Up Writing Linear Equations
W2K
Words to Know
a relationship between independent and dependent variables characterized by a constant rate of change, a highest degree of 1, and a graph that is a straight line
a linear relation written as = + , where and are real numbers, is the slope, and is the -intercept of the line
Forms of Linear Equations
The equation of a line can be written in different forms.
Slope-intercept form of a linear equation = +
= -5 +
Point-slope form of a linear equation - 1 = ( - 1)
1 - 4 = 3 + 4
(-5, )
Standard form of a linear equation
+ = 8 - 3 = 7
, Both 0 , , =
? Edgenuity, Inc.
2
Instruction Writing Linear Equations
Slide
2
Writing an Equation Given Two Points on the Line
Write the equation of the line that passes through the points (-2, -3) and (8, 3),
first in point-slope form, and then in slope-intercept form.
Find the slope: =
3 - -3 8 - -2
=
=
3 5
-
3 = 5 ( - 8)
- 3 = 3 + -24
5
5
+3
+ 15
5
= 3 +
5
? Edgenuity, Inc.
3
Instruction Writing Linear Equations
Slide
4
Writing the Standard Form of a Line
Write the equation of the line that passes through the points (-2, -3) and (8, 3) in
standard
form,
given
that
the
point-slope
form
is
-
3
=
3 5
(
-
8).
5 ( - 3) = 3 ( - 8) 5
5
5 - 15 =
5 - 15 = 3 - -3 + 15 - 3 + 15
-1 -3 + 5 = -9 -1
=9
? Edgenuity, Inc.
4
Instruction Writing Linear Equations
Slide
6
Comparing Different Equations That Represent the Same Line
The equation of the line that passes through the points (? 2, ? 3) and (8, 3) can be
written in different forms.
10 y
10 y
10 y
x
x
x
?10
10
?10
10
?10
10
?10
3 y?3= 5 x?8
point-slope form
Point: (8,
)
Slope:
3 5
?10
39 y= x?
55
slope-intercept form -intercept: -9 =
5
Slope: 3
5
?10
3x ? 5y = 9
form -intercept: 3 -intercept:
9 - 5 = -1.8
Writing a Linear Equation Given a Table
Write the equation of a line that passes through the points shown in the table.
- 1 = - 1
9-4 = 3 - 1 =
?5
?11
?1
?1
5
1
4
- 4 = 2 (
)
3
9
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