Download Graph Linear Eqns.notebook

Graph Linear Eqns.notebook
August 18, 2016
Warm Up
Write the slope­intercept form of the equation for the line that:
1. passes through (­3, ­1) and has slope of 3/4. 2. passes through (­1/2, 1/2) and (3/2, 5/2). 3. Write the equation of a line that passes through (2, 1) and is parallel to y = 3/2 x + 7.
Warm Up
The slopes of parallel lines are always _________________ .
Example: Write the equation of a line that: 6) passes through (4, 5) and is parallel to y = 3/2 x + 6
Parallel/Perp Slope
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Graph Linear Eqns.notebook
August 18, 2016
The slopes of perpendicular lines are always _________________________ .
Example: Write the equation of a line that: 7) passes through (6, ­ 4) and is perpendicular to y = ­3/4 x + 2
Parallel/Perp Slope
Example: Write the equation of a line that: 8) passes through (­1, ­ 3) and is perpendicular to 2x + 5y = 15
Parallel/Perp Slope
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Graph Linear Eqns.notebook
August 18, 2016
Equations of Horizontal and Vertical Lines
horizontal line vertical line
y = # x = #
Horizontal is parallel to horizontal.
Vertical is parallel to vertical.
Horizontal is perpendicular to vertical.
Examples: Write the equation of a line that 9. passes through (3,­4) and is perpendicular to x = 7
10. passes through (4, ­10) and is parallel to x = ­5
Horizontal/Vert Lines
Examples: Write the equation of a line that:
11. is horizontal and passes through (­3, 1)
12. is vertical and passes through (­2, 7)
13. that passes through (4, ­5) and (4, 7)
Horizontal/Vert Lines
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Graph Linear Eqns.notebook
August 18, 2016
PRACTICE
1. Write the equation of a line that passes through (5, ­3) and has
slope m = 4. 2. Write the equation of a line that passes through (1, 3) and is parallel to 2x ­ y = 1
3. Write the equation of a line that passes through (­4, 7) and is perpendicular to y = 4/5 x ­ 1.
4. Write the equation of the vertical line that passes through (2, ­7).
Practice
Graphing Linear Equations
STANDARD FORM of linear equation:
Ax + By = C
Use the Intercepts!!
Find the y-intercept by letting x = 0 and solving for y.
Find the x-intercept by letting y = 0 and solving for x.
EXAMPLES:
1. 2x - 3y = 6
2. 5x + 3y = 15
Graph Using Intercepts
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Graph Linear Eqns.notebook
August 18, 2016
Graph:
1. 5x + 2y = 10
2. 2x - 3y = 12
Graph Std Form
Challenge:
Graph 3/4 x ­ 2/3 y = ­12
Graph Std Form
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Graph Linear Eqns.notebook
August 18, 2016
Graphing Linear Equations
SLOPE-INTERCEPT FORM of linear equation:
y = mx + b
Use the slope (m) and y-intercept (b)!!
EXAMPLES:
1. y = 2/3 x + 1
2. y = x
3. y = 7
Graph Slope­Intercept
Graph:
1. y = -2/3 x - 1
2. y= 2/5 x + 4
Graph Slope­Intercept
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Graph Linear Eqns.notebook
August 18, 2016
Graphing Linear Equations
Horizontal Lines
Equation: y = c
y-intercept: (0, c)
Vertical Lines
Equation: x = c
x-intercept: (c, 0)
EXAMPLES: Is it a horizontal or vertical line?
1. y = -6
2. x = 5
3. y = 0
Horizontal/Vertical Lines
Graph:
1. y = 5
2. x = -4
Horizontal/Vertical Lines
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