Name___________________________
Hour_________
Chapter 4/5B (Writing Equations)
Assignments
_____
Day 1: HW: p. 289-290 (15-25 odd, 41-49 odd)
_____
Day 2: HW: Worksheet #1, Ch. 4–5B
_____
Day 3: Intercepts Worksheet
_____
Day 4: p. 284:
5–9 odd (Standard Form)
11– 17 odd (Slope–Intercept Form)
21–25 odd (Point–Slope Form)
_____
Day 5: WS #2 Review
_____
Day 6: Quiz Review & Quiz #1
_____
Day 7: p. 296 (21-24, 35-39)
_____
Day 8: p. 832 Lessons 5-4, 5,5, & 5-6
(Write in slope-intercept form if not told what form)
_____
Day 9: Practice Test
_____
Day 10: WRITING EQUATIONS TEST
1
2
Day 1
Graphing Lines Using Point-Slope Form
Slope – Intercept Form
Review:
y = mx + b
Graph.
1.
y= 
1
x5
3
2.
New:
y = 2x – 4
3.
y=
2
x
3
Point – Slope Form
y – y1 = m(x – x1)
4. y – 3 = 2(x – 1)
5. y – 4 = –1(x + 2)
m = ________
Point (
,
m = ________
)
Point (
,
6. y + 3 =
1
( x  5)
2
m = _______
)
Point (
,
)
3
Practice:
7.
y–1=

2
( x  4)
3
m = ________
Point (
,
8.
y – 3 = 2x
9.
m = ________
)
Point (
,
y = – (x – 2)
m = _________
)
Point (
,
)
Given each of the following points that a line goes through and the slope of
the line, write the equation in Point–Slope Form.
Point
Slope
Point–Slope Form
(–2, 5)
–4
___________________
(7, –3)
2/3
___________________
(0, 8)
–1
___________________
(–2, 0)
¼
___________________
(3, –6)
0
___________________
(
,
)
_____
y – 5 = –6(x + 10)
(
,
)
_____
y + 2 = –(x – 7)
(
,
)
_____
y–4=0
(
,
)
_____
y+5=x
HW: p. 289-290 (15-25 odd, 41-49 odd)
4
Day 2
Standard Form
Standard Form:
Ax + By = C
The x-term must be positive
No fractions or decimals!
Put each of the following into Standard Form.
2
3
1.
y= x–1
2.
y+6=
(x – 8)
3
4
3. Write the equation of the line that goes through (2, 3) and has a slope of 4.
*** Always go to Point–Slope Form first!!!
1. Point-Slope Form
2. Slope-Intercept Form
3. Standard Form
HW: Worksheet #1
5
Day 3
Graphing Lines Using x and y Intercepts
Find the x and y intercepts for each of the following graphs.
1.
x – intercept ( ____ , ____ )
2.
y – intercept ( ____ , ____ )
3.
x – intercept ( ____ , ____ )
y – intercept ( ____ , ____ )
4.
y – intercept ( ____ , ____ )
5.
x – intercept ( ____ , ____ )
y – intercept ( ____ , ____ )
x – intercept ( ____ , ____ )
x – intercept ( ____ , ____ )
y – intercept ( ____ , ____ )
6.
x – intercept ( ____ , ____ )
y – intercept ( ____ , ____ )
6
Find the intercepts from the given equation. Then graph using the
intercepts.
7.
x + 3y = –6
8.
3x – 4y = 12
9.
11.
x – int = (
,
)
x – int = (
,
)
y – int = (
,
)
y – int = (
,
)
3=
3
x –y
2
10.
x=2
x – int = (
,
)
x – int = (
,
)
y – int = (
,
)
y – int = (
1
12. y = x  1
4
,
)
x – int = (
,
)
x – int = (
,
)
y – int = (
,
)
y – int = (
,
)
y = -3
HW: Intercepts Worksheet
7
Day 4
Writing Equations
1. Write the equation of the line that has a slope of –8 and crosses the
y–axis at (0, 2). Put your answer in Slope–Intercept Form.
2. Write the equation of the line with m = –1 and b = 0. Put your answer
in Standard Form.
3. Write the equation of the line with m = 3 going through the point
(–2, –5). Put your answer in Point-Slope Form.
3
that goes through (2, –5).
4
Put your answer in Slope–Intercept Form.
4. Write the equation of the line with m = 
5. Write the equation of the line that goes through (–4, 1) and (–5, –3).
Put your answer in Standard Form.
6. Write the equation of the line that goes through (4, –6) and (1, 2). Put
your answer in Point–Slope Form.
HW: p. 284:
5–9 odd (Standard Form)
11– 17 odd (Slope–Intercept Form)
21–25 odd (Point–Slope Form) Do # 11 together.
8
Day 6
Quiz Review
Graph using the method given.
1.
y + 2 = 3(x  5)
2.
slope = ______
point = (
3.
,
4x  2y = 8
y4=
1
(x + 1)
2
slope = ______
)
point = (
4.
,
)
y = 3x  6
x-int = (_____,_____)
x-int = (_____,_____)
y-int = (_____,_____)
y-int = (_____,_____)
Write an equation of a line in slope-intercept form (y = mx + b).
1
5. m = 4, (3, 1)
6. m = , (6, 2)
7.
(2, 4), (7, 6)
3
Quiz Time 
9
Day 7
Parallel and Perpendicular Lines
Graph.
1.
y = 3x + 1
2.
y = 3x – 4
2
x
3
2
y=
x+3
3
y=
Observations:
The lines are ________________________________.
The slopes of the lines are _____________________________.
Parallel lines have the ___________
___________.
3. Write an equation of a line parallel to y = 3x  2 that passes through the point (1, 4).
Graph both lines.
*A point is given, so need to
find m to use y-y1 = m(x-x1)
*Use given equation to find m
*Write final answer in
“y = mx + b” form
4. Write an equation of a line parallel to 3x  2y = 8 that passes through the point (2, 1).
Graph both lines.
10
Graph.
5.
y = 2x + 3
y=
1
x1
2
6.
2
x+1
3
3
y=
x2
2
y=
Observations:
The lines are ________________________________.
The slopes of the lines are _________________________________________.
Perpendicular lines have an __________ __________ slope.
Given:
2x  5y = 10
parallel:
m = _________
perpendicular:
m = _________
7. Write an equation of a line that passes through (2, 2) and is perpendicular to
2x + y = 5. Graph both lines.
HW: p. 296 (21-24, 35-39)
11
Day 8
Writing an Equation
What 2 things do you need?
Point
(x1 , y1)
m = slope
Point-Slope:
Slope-Intercept:
Standard:
12
The slopes of parallel lines are _______________.
Ex. y = –5x + 6 is parallel to y = ________
The slopes of perpendicular lines are ______________.
Ex. y = –5x + 6 is perpendicular to y = _________
Write the equation of the line (Standard Form) that is parallel to the line
2x – 3y = –7 that goes through (–6, 3)
Write the equation of the line (Slope–Intercept Form) that goes through
(–2, 5) and is perpendicular to the line –3x – 4y = 8.
HW: p. 832 Lessons 5-4, 5-5, & 5-6
(Write in slope-intercept form if not told what form)
13