HW: 4-1 SLOPE
UNIT 4 – GRAPHING LINEAR FUNCTIONS
SLOPE (DAY 1)
There are FOUR types of slope.
Slope Descriptor Picture:
In general: Describe the slopes of the graphed lines below:
y
y
y
x
x
y
x
x
Another way to say slope is: ____________________________________________________
WHEN ASKED TO FIND THE SLOPE OF A LINE:
 2 Points --or
 A graphed line ---
SLOPE SHOULD ALWAYS BE A ____________ IN ___________________.
Find the slope of the following using the Slope Formula:
1.
(0, -2) & (2, 4)
2.
(0, 3) & (4, 3)
3.
(-2, 2) & (4, -1)
4.
(-3, -5) & (-2, -4)
Find the slope of the following, using the
5.
(2, 3) & (-4, -5)
rise
run
method:
6.
y
(-5, 2) & (4, -3)
y
x
x
HW: 4-2 Graphing y = mx + b
UNIT 4 – GRAPHING LINEAR FUNCTIONS
GRAPHING y = mx + b (Day 2)
Slope-Intercept Form  y = mx + b
‘m’ represents slope
‘b’ represents y-intercept
HW: 4-3
UNIT 4 – GRAPHING LINEAR FUNCTIONS
REARRANGE-GRAPH (y = mx + b) (DAY 3)
HW: 4-4 PARALLEL AND PERPENDICULAR
UNIT 4 – GRAPHING LINEAR FUNCTIONS
PARALLEL AND PERPENDICULAR LINES (DAY 4)
HORIZONTAL
VERTICAL
DIAGONAL (SLANTED)
y
y
x
y
x
Parallel Lines
Perpendicular Lines
1. Write an equation of a line that is:
(a) Parallel to the x-axis and 2 units above it.
(b) Parallel to the y-axis and 2 units to the left of it.
(c) Has undefined slope and passes through the point (3, -4).
(d) Has a slope of 0 and passes through the point (-7, -8).
(e) Vertical and passes through the point (4, -2).
(f)
Horizontal and passes through the point (2, 0).
x
2. Which equation represents a line parallel to y = 2x + 5?
(1) y = -2x – 5
(3) y = 5x + 2
1
(4) y = - x – 5
2
(2) y = 2x – 5
3.
Which equation represents a line perpendicular to 2y = -3x + 1?
2
(1) y = - x + 6
3
2
(2) y = x + 3
3
4.
5.
3
x2
2
(4) y = - x 3
(3) y =
Which one of the following statements is false about the line whose equation is
y = -2x – 5?
(1)
(2)
(3)
The slope is –2
It is parallel to the line whose equation is y = 2x + 5
The y-intercept is –5
(4)
It is perpendicular to the line whose equation is y =
1
x–3
2
What is the equation of the line that has a y-intercept of –2 and is parallel to the line
whose equation is 4y = 3x + 7?
3
x–2
4
4
(2) y = x – 2
3
3
x+2
4
4
(4) y = - x – 2
3
(1) y =
6.
1
2
1
2
Graph:
(3)
2y  6x  4
y
y=
7.
Graph:
3y  4 x  21
y
x
x
HW: 4-5 GRAPHING LINEAR WORD PROBLEMS
PROBLEMS
UNIT 4 – GRAPHING LINEAR FUNCTIONS
GRAPHING LINEAR WORD PROBLEMS (DAY 5)
Slope –Intercept Form
Standard Form
Complete the table and graph the points on the coordinate grid
1. Graph 6 x  3 y  0
x
y
0
1
2
What is the rate of change?
What is the y-intercept?
The National Weather Service releases weather balloons twice daily at over 90
locations in the United States in order to collect data for meteorologists using
h  14t  5 . The height h (in feet) of a balloon is a function of the time t (in seconds)
after the balloon is released.
200
Using the equation complete the table
showing the height of a balloon after
t seconds for 0  t  10 and
graph it on the coordinate grid.
t
h
150
Height (feet)
2.
100
50
1
2
3
4
5
6
Time (seconds)
7
8
9
10
The Band Booster Club is selling T-shirts and blanket wraps to raise money for a trip.
The band director has asked the club to raise at least $1000 in sales. So, the Booster
club has set a fundraising goal of $2000.
The booster club president wants to know how they will reach their goal. The t-shirts
cost $10 each and the blanket wraps cost $25 each. How can the booster clubs
president use the prices of each item to help the fundraiser meet its goal?
a)
Let x equal then number of t-shirts sold. Write an expression for the amount of
money raised from t-shirt sales. Interpret the expression.
b)
Let y equal the number of blanket wraps sold. Write an expression for the
amount of money raised from the blanket wrap sales. Interpret the expression.
c)
Combine the expression and sales goal into a linear equation.
d)
Complete the table.
x
y
0
0
50
e)
Graph the equation on the coordinate grid below using the points from the
table.
Number of blanket wraps
4.
Number of T-shirts
HW: 4-6 GRAPHING LINEAR INEQUALITIES PROBLEMS
UNIT 4 – GRAPHING LINEAR FUNCTIONS
GRAPHING LINEAR INEQUALITIES (DAY 6)
STEPS:
1.
2.
3.
, then DETERMINE LINE TYPE
If the equation has a ____or ____ sign then you connect the points with a: _____________
If the equation has a _____ or______ sign then you connect the points with: ____________
Determine Shading by Picking a test point: (mark test point with an x on the graph)

Shade where test point is ______________!!
GRAPH THE FOLLOWING :
1. y < 3
2.
y
y
x
3.
x  2
y  3 x  2
y
x
x
4.
 2 y  4x  4
y
x
5.
2y  4 x  7
y
x
6.
x – 3y > -6
y
x
HW: 4-7 LINEAR FUNCTION APPLICATION PROBLEMS
UNIT 4 – GRAPHING LINEAR FUNCTIONS
LINEAR INEQUALITY WORD PROBLEMS (DAY 7)
h
(hours)
0
2
4
6
8
10
12
14
16
18
20
f(h)
weekly $
Pounds of cheese
# Cracker Packages
HW: 4-8 WRITING EQUATION GIVEN GRAPH
UNIT 4 – GRAPHING LINEAR FUNCTIONS
WRITE EQUATION GIVEN GRAPH (DAY 8)
Write an equation/inequality for each below and state a possible solution for each graph.
1.
2.
y
y
x
3.
x
4.
y
y
x
x