objective- to graph and manipulate equations in standard form. standard formslope-intercept form ax...
DESCRIPTION
Graph the following equation. 2x + 6y = 3 - 2x 6y = - 2x y = x m = -1 3 b = x yTRANSCRIPT
Objective- To graph and manipulate equations in standard form.Standard Form Slope-Intercept Form
Ax + By = C y = mx + b
3x + 2y = 8-3x -3x
2y = -3x + 82 2y = x + -3
282
y = x + 4 -32
y = x + 4 -32
m = -32
b = 4
To change Standard Form to Slope-Intercept Form just solve the equation for y.
Graph the following equation.
-4x + 3y = 6+4x +4x
3y = 4x + 63 3y = x + 4
363
y = x + 2 43
m = 43
b = 2
x
y
+4
+3
Graph the following equation.
2x + 6y = 3-2x -2x
6y = -2x + 36 6y = x + -2
636
y = x +-13
m = -13
b =
x
y
-1 +3
12
12
Graph the following equation.
y = x
m = 1
b = 0
x
y
+1+1
y = 1x + 0
Convert the following linear equation to standard form.
Not in standard form!
Ax + By = Cy = 2x + 5
-2x -2x-2x + y = 5
-2x + y = 5 or 2x - y = -5
Convert the following linear equation to standard form.
Not in standard form!
Ax + By = C
Where A, B and Care integers.
y x 12
1
12
12
x x
12
x y = 1
2 12
FHG IKJx y = 1
-x + 2y = -2 or x - 2y = 2
Convert the following linear equation to standard form.
Not in standard form!
Ax + By = C
Where A, B and Care integers.
y x 53
4
3 53
4y x FHG IKJ3y = 5x - 12
-5x -5x-5x + 3y = -12 or 5x - 3y = 12
- x + y = 4
- x + y = 4
- x - x
Write a linear equation in standard form given:slope = y-intercept = 42
3y = mx + by = x + 42
3Not in standard form!Ax + By = CWhere A, B and Care integers.
23
23
2323 No fractional coefficients!3
- 2x + 3y = 12 or 2x - 3y = -12
- x + y = -1
- x + y = -1
- x - x
Write a linear equation in standard form given:slope = y-intercept = -15
4y = mx + by = x - 15
4Not in standard form!Ax + By = CWhere A, B and Care integers.
54
54
5454 No fractional coefficients!4
- 5x + 4y = -4 or 5x - 4y = 4