Objective- To graph and manipulate equations

1
Objective- To graph and manipulate equations in
standard form.
Standard Form
Slope-Intercept Form
y mx b
Ax By C
-3
3x 2y 8
y x 4
-3x -3x
2
2y -3x 8
-3
m
2
2 2
-3
8
b 4
y x
2
2
-3
y x 4
2
To change Standard Form to Slope-Intercept Form
just solve the equation for y.
2
Graph the following equation.
-4x 3y 6
4x 4x
y
3
3y 4x 6
3 3
4
6
4
y x
3
3
4
y x 2
3
x
4
m
3
b 2
3
Graph the following equation.
2x 6y 3
-2x -2x
y
6y -2x 3
6 6
-2
3
y x
6
6
-1
1
y x
3
2
-1
x
3
-1
m
3
1
b
2
4
Graph the following equation.
y x
y
y 1x 0
m 1
b 0
1
1
x
5
Convert the following linear equation to
standard form.
Not in standard form!
y 2x 5
-2x -2x
Ax By C
-2x y 5
-2x y 5
or
2x - y -5
6
Convert the following linear equation to
standard form.
Not in standard form!
Ax By C
Where A, B and C are integers.
-x 2y -2
or
x - 2y 2
7
Convert the following linear equation to
standard form.
Not in standard form!
Where A, B and C are integers.
Ax By C
3y 5x - 12
-5x -5x
or
5x - 3y 12
-5x 3y -12
8
Write a linear equation in standard form given
2
slope y-intercept 4
3
y mx b
2
Not in standard form!
y x 4
3
Ax By C
2
2
- x - x
Where A, B and C are integers.
3
3
2
- x y 4
3
2
- x y 4
3
No fractional coefficients!
3
2x - 3y -12
- 2x 3y 12
or
9
Write a linear equation in standard form given
5
slope y-intercept -1
4
y mx b
5
Not in standard form!
y x - 1
4
Ax By C
5
5
- x - x
Where A, B and C are integers.
4
4
5
- x y -1
4
5
- x y -1
4
No fractional coefficients!
4
5x - 4y 4
- 5x 4y -4
or