Content Objectives: (What we will do?)
1- Find the solution to an equation
2- Graph an equation from a table
3-Find the x and y intercepts
4- Identify slope-intercept form
5- Find the slope and y-intercept from a graph and equation
Language Objectives: (How we will do it?)
1- Substitute (x, y) into equation
2- Create a t-chart and plot as (x, y)
3-Let x = 0 and find ‘y’. Let y = 0 and find ‘x’.
4- Write equation using slope and y-intercept in form y = mx + b
5- Identify (x, y) on graph and x-axis
6-Compute distance traveled in rise over run from one solution point to
another
Complete the table by finding two solutions & the slope to each equation.
Equation
y = 2x + 1
y = -2x – 3
Two Solutions
(x1, y1) and (x2, y2)
(0, 1)
and
y = 2x + 1
1 = 2(0) + 1
1= 0+1
1= 1
( 0 , -3)
and
= -2x - 3
= -2( ) - 3
=
y=x+4
(0,4)
y=x+ 4
=( )+ 4
=
Slope
(1, 3)
y = 2x + 1
3 = 2(1) + 1
3= 2 + 1
3 = 3
m = 3 - 1 =
1 - 0
( -1, -1) y
m =
-
=
m =
-
=
y = -2x
= -2( ) – 3
=
and
m = y2 - y1
x2 - x1
( -1 , 3 )
y=x + 4
=( )+ 4
=
Graph each line using the two solutions above. Find the y-intercept for each line.
(0, 1) and (1 -3)
y = 2x + 1
Equation
(0, 3) and (-1, -1)
y = -2x – 3
Two Solutions
Slope
( 0 , 4 ) and ( -1 , 3 )
y=x+4
y-intercept
y = 2x + 1
y = -2x – 3
y=x+4
What do you notice in the equation and graphs?
Slope-Intercept Form:
y = mx + b,
where m is the slope and b is the y-intercept
Example 1: Identify the slope(m) and y-intercept(b) of each equation.
a)
y = -x + 2
m = -1
b = 2
b) y = 2x + 3
c)
y = 2 x - 1
3
m = 2
b = 3
m = 2/3
b = -1
Example 2: Put each equation in slope-intercept form and identify the
slope (m) and y-intercept (b).
a) 3x + y = 2
b) 2x - 3y = 6
c) x - y + 4 = 0
-y + 4 = -x
-3y = -2x + 6
-y = -x - 4
y = -3x + 2
y = 2/3x - 2
m = -3
b = 2
m = 2/3
b = -2
y = x + 4
m = 1
b = 4
Example 3: Find the slope and y-intercept, then write the equation in
slope-intercept form.
Practice 4.6
Content Objectives:
(What we will do?)
Language Objectives:
(How we will do it?)
1- Substitute (x, y) into equation
1- Find the solution to an equation
2- Create a t-chart and plot as (x, y)
2- Graph an equation from a table
3-Let x = 0 and find ‘y’. Let y = 0
and find ‘x’.
3-Find the x and y intercepts
4- Write equation using slope and
y-intercept in form y = mx + b
4- Identify slope-intercept form
5- Find the slope and y-intercept
from a graph and equation
5- Identify (x, y) on graph and xaxis
6-Compute distance traveled in
rise over run from one solution
point to another
Combine content objective and matching language
objective and write a summary sentence.