1 identify the slope and the y-intercept - lcps.org · ... linear equations - slope intercept form...
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Questions/Main Ideas:
Algebra 1 Name: ________________________ Notes Period: _______Date: ____________
TOPIC: LINEAR EQUATIONS - Slope Intercept Form
What does the constant of a Linear Equation indicate? What does the coefficient of a linear equation indicate?
Given the function Rule 43 xxf identify the y- intercept.
The constant of the function rule is the Y- intercept.
Recall from last class that the Slope formula is or ∆ f(x)
∆ x
A linear equation in Slope Intercept Form will look like y = mx + b
The coefficient of the function rule is the slope.
PRACTICE 1: Given the following equations in Slope Intercept Form,
identify the Slope and the Y-intercept
a. b.
c. d*.
Graph the following linear equations.
Start at the b (the beginning) Then go to the m (the movement)
b = -4 b = +2
m = m =
Once the y intercept, the “b” is marked them mark the places indicated
by the slope , the ”m”. After the points are plotted use a ruler to make a line.
12
12
xx
yym
Slope y intercept
43 xxf 24
1 xy
-4 -3 -2 -1 1 2 3 4
-4
-3
-2
-1
1
2
3
4
-4 -3 -2 -1 1 2 3 4
-4
-3
-2
-1
1
2
3
4
93
xy
2 xy xy 3
4y
PRACTICE 2: Graph the following equations.
a. b.
c. d.
What does it mean if the Function Rule does not have a constant term?
The graph runs through the origin since the y intercept is zero (identity
property of
addition).
VERTICAL OR HORIZONTAL LINES
Graph the following linear equations.
This is a horizontal line at y = 3 This is a vertical line at x = 3
3y3x
-4 -3 -2 -1 1 2 3 4
-4
-3
-2
-1
1
2
3
4
-4 -3 -2 -1 1 2 3 4
-4
-3
-2
-1
1
2
3
4
-4 -3 -2 -1 1 2 3 4
-4
-3
-2
-1
1
2
3
4
-4 -3 -2 -1 1 2 3 4
-4
-3
-2
-1
1
2
3
4
-4 -3 -2 -1 1 2 3 4
-4
-3
-2
-1
1
2
3
4
-4 -3 -2 -1 1 2 3 4
-4
-3
-2
-1
1
2
3
4
12
1 xy 32 xy
3 xxf xy
Remember: HOY / VUX
H - horizontal V – vertical
0 - zero slope U – undefined slope
Y – “ y = ” X – “ x = ”
PRACTICE 4: write the following linear equations:
a. a vertical line through -7 b. a horizontal line through 3
c. horizontal through the origin d. a vertical line through your age
PRACTICE 5: Graph the following equations.
a. b.
c. d.
e. f.
What is different between the first two graphs and the second two?
What is different between the first two equations and the second two?
How are the last two equations and graphs different from the first four?
-4 -3 -2 -1 1 2 3 4
-4
-3
-2
-1
1
2
3
4
-4 -3 -2 -1 1 2 3 4
-4
-3
-2
-1
1
2
3
4
-4 -3 -2 -1 1 2 3 4
-4
-3
-2
-1
1
2
3
4
-4 -3 -2 -1 1 2 3 4
-4
-3
-2
-1
1
2
3
4
-4 -3 -2 -1 1 2 3 4
-4
-3
-2
-1
1
2
3
4
-4 -3 -2 -1 1 2 3 4
-4
-3
-2
-1
1
2
3
4
3y 2y
4x2
1x
xy xy
PRACTICE 6: Match the slope –intercept form with the function shown
(Not all are used)
a. b.
y = y =
c. d.
y = y =
Summary:
-4 -3 -2 -1 1 2 3 4
-4
-3
-2
-1
1
2
3
4
-4 -3 -2 -1 1 2 3 4
-4
-3
-2
-1
1
2
3
4
13
4y x
1y x
2 4y x
34
xy 2 4y x
1y
-4 -3 -2 -1 1 2 3 4
-4
-3
-2
-1
1
2
3
4
-4 -3 -2 -1 1 2 3 4
-4
-3
-2
-1
1
2
3
4