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Name:Date: Period:Topic: Slope-Intercept FormEssential Question: What can be used to write and graph the equation of a line?
Find the slope of each line:
1.
(8, 4), (6, 3)
2. Find the slope of the line that passes through each pair of points.
Important!!!This is one of the big concepts in
Algebra 1. You need to thoroughly understand this!
Vocabulary:
Slope – Intercept Form y = mx + b
m represents the slope
b represents the y-intercept
y-intercept = is the y-coordinate of a point where the graph crosses the y-axis
Writing Equations
When asked to write an equation, you need to know two things – slope (m) and y-intercept (b).
Writing Equations – Type #1Write an equation in slope-intercept form of the line
that has a slope of 2 and a y-intercept of 6.
To write an equation, you need two things:
26
slope (m) =y – intercept (b) =
We have both!! Plug them into slope-intercept formy = mx + b
y = 2x + 6
1. Write the equation of a line that has a y-intercept of -3 and a slope of -4.
A) y = -3x – 4
B) y = -4x – 3
C) y = -3x + 4
D) y = -4x + 3
Identify the slope and y-intercept:
y = 3x – 7
y = x
y = 5
2
3
How can I graph these problems???
Writing Equations – Type #2Write an equation of the line that has a slope of 3
and goes through the point (2,1).
To write an equation, you need two things:3???
We have to find the y-intercept!! Plug in the slope and ordered pair into
y = mx + b
slope (m) = y – intercept (b) =
1 = 3(2) + b
Writing Equations(2, 1) Slope 3
1 = 3(2) + b
2. Write an equation using the following information:
(-4, -7) slope 2
Writing Equations – Type #3Write an equation of the line that goes through the
points (1, -2) and (2, 4). To write an equation, you need two things:
???
???
slope (m) =
y – intercept (b) =
3. Write an equation of the line that goes through the points (0, 1) and (1, 4).
1. y = 3x + 4
2. y = 3x + 1
3. y = -3x + 4
4. y = -3x + 1
Write an equation in slope-intercept form:
Practice Time!Four Corners
A) y = -2x + 5 C) y = 5x + 2
B) y = 2x – 5 D) y = 5x – 2
Write an equation in slope-intercept form of the line that has a slope of 5 and a y-intercept of -2.
Identify the y-intercept:y = 7
A) 7 C) 0
B) Undefined D) 1
A) 8x C) 8
B) 0 D) 1
Identify the slope:y = 8x
The y-intercept for the graph below is:
A) 2 C) 2/1
B) 1 D) 0
A) y = 6x – 23 C) y = 1/6x – 2
B) y = 6x – 2 D) y = x +4
Write an equation of the line that goes through the points (0, -2) and (1, 4).
What about an equation like this?
5x - 3y = 6What is the slope?
What is the y-intercept?
Find the slope and y-intercept:5x - 3y = 6
Write it in slope-intercept form. (y = mx + b)
Find the slope and y-intercept: 5) 2y + 2 = 4x
Independent Practice Time!!!
Page 310-311 (26, 32, 38, 54, 64)
Word Problem Challenge:
A carpenter charges a $45 fee plus $30 per hour for labor. Write an equation to model the total cost of a job. What graph models the total cost?
Hands-on Activity: Competition Time
• Matching: Slope-Intercept Form & Graph
Wrap-Up:Vocabulary Review!
Reminder:- Complete your summary
- Study your notes
HLA #3: Slope-Intercept Form
Page 310-311
(12, 20, 24, 28, 30, 40, 42, 52, 62, 63)