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• Parallel Lines – slopes are the same (m)
• Perpendicular Lines – slopes are the opposite reciprical
• Parallel Lines – slopes are the same (m)
• Perpendicular Lines – slopes are the opposite reciprical
• Parallel Lines – slopes are the same (m)
• Perpendicular Lines – slopes are the opposite reciprical -m
• Parallel Lines – slopes are the same (m)
• Perpendicular Lines – slopes are the opposite reciprical -m
• Parallel Lines – slopes are the same (m)
• Perpendicular Lines – slopes are the opposite reciprical -1
m
• Parallel Lines – slopes are the same (m)
• Perpendicular Lines – slopes are the opposite reciprical -1
m
Ex. 1 Perpendicular or Parallel?
• Parallel Lines – slopes are the same (m)
• Perpendicular Lines – slopes are the opposite reciprical -1
m
Ex. 1 Perpendicular or Parallel?
a) y = ½x + 2
y = ½x – 9
• Parallel Lines – slopes are the same (m)
• Perpendicular Lines – slopes are the opposite reciprical -1
m
Ex. 1 Perpendicular or Parallel?
a) y = ½x + 2 ||
y = ½x – 9
• Parallel Lines – slopes are the same (m)
• Perpendicular Lines – slopes are the opposite reciprical -1
m
Ex. 1 Perpendicular or Parallel?
a) y = ½x + 2 || b) y = 3x – 5
y = ½x – 9 y = -⅓x + 7
• Parallel Lines – slopes are the same (m)• Perpendicular Lines – slopes are the
opposite reciprical -1
m
Ex. 1 Perpendicular or Parallel?
a) y = ½x + 2 || b) y = 3x – 5 _|_
y = ½x – 9 y = -⅓x + 7
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12.
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12.
1) Find the slope needed.
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12.
1) Find the slope needed.
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12.
1) Find the slope needed.
x + 4y = 12
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12.
1) Find the slope needed.
x + 4y = 12
-x -x
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12.
1) Find the slope needed.
x + 4y = 12
-x -x
4y = -x + 12
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12.
1) Find the slope needed.
x + 4y = 12
-x -x
4y = -x + 12
4 4 4
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12.
1) Find the slope needed.
x + 4y = 12
-x -x
4y = -x + 12
4 4 4
y = -¼x + 3
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12.
1) Find the slope needed.
x + 4y = 12
-x -x
4y = -x + 12
4 4 4
y = -¼x + 3
m = -¼
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12.
1) Find the slope needed.
x + 4y = 12
-x -x
4y = -x + 12
4 4 4
y = -¼x + 3
m = -¼, m┴ = 4
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12.
1) Find the slope needed.
x + 4y = 12
-x -x
4y = -x + 12
4 4 4
y = -¼x + 3
m = -¼, m┴ = 4
2) Use coordinate point & slope to write equation.
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12.
1) Find the slope needed.
x + 4y = 12
-x -x
4y = -x + 12
4 4 4
y = -¼x + 3
m = -¼, m┴ = 4
2) Use coordinate point & slope to write equation.
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12.
1) Find the slope needed.
x + 4y = 12
-x -x
4y = -x + 12
4 4 4
y = -¼x + 3
m = -¼, m┴ = 4
2) Use coordinate point & slope to write equation.
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12.
1) Find the slope needed.
x + 4y = 12
-x -x
4y = -x + 12
4 4 4
y = -¼x + 3
m = -¼, m┴ = 4
2) Use coordinate point & slope to write equation.
y – y1 = m(x – x1)
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12.
1) Find the slope needed.
x + 4y = 12
-x -x
4y = -x + 12
4 4 4
y = -¼x + 3
m = -¼, m┴ = 4
2) Use coordinate point & slope to write equation.
y – y1 = m(x – x1)
y –
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12.
1) Find the slope needed.
x + 4y = 12
-x -x
4y = -x + 12
4 4 4
y = -¼x + 3
m = -¼, m┴ = 4
2) Use coordinate point & slope to write equation.
y – y1 = m(x – x1)
y –
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12.
1) Find the slope needed.
x + 4y = 12
-x -x
4y = -x + 12
4 4 4
y = -¼x + 3
m = -¼, m┴ = 4
2) Use coordinate point & slope to write equation.
y – y1 = m(x – x1)
y –
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12.
1) Find the slope needed.
x + 4y = 12
-x -x
4y = -x + 12
4 4 4
y = -¼x + 3
m = -¼, m┴ = 4
2) Use coordinate point & slope to write equation.
y – y1 = m(x – x1)
y – (-2) =
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12.
1) Find the slope needed.
x + 4y = 12
-x -x
4y = -x + 12
4 4 4
y = -¼x + 3
m = -¼, m┴ = 4
2) Use coordinate point & slope to write equation.
y – y1 = m(x – x1)
y – (-2) =
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12.
1) Find the slope needed.
x + 4y = 12
-x -x
4y = -x + 12
4 4 4
y = -¼x + 3
m = -¼, m┴ = 4
2) Use coordinate point & slope to write equation.
y – y1 = m(x – x1)
y – (-2) =
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12.
1) Find the slope needed.
x + 4y = 12
-x -x
4y = -x + 12
4 4 4
y = -¼x + 3
m = -¼, m┴ = 4
2) Use coordinate point & slope to write equation.
y – y1 = m(x – x1)
y – (-2) = 4(x -
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12.
1) Find the slope needed.
x + 4y = 12
-x -x
4y = -x + 12
4 4 4
y = -¼x + 3
m = -¼, m┴ = 4
2) Use coordinate point & slope to write equation.
y – y1 = m(x – x1)
y – (-2) = 4(x -
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12.
1) Find the slope needed.
x + 4y = 12
-x -x
4y = -x + 12
4 4 4
y = -¼x + 3
m = -¼, m┴ = 4
2) Use coordinate point & slope to write equation.
y – y1 = m(x – x1)
y – (-2) = 4(x -
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12.
1) Find the slope needed.
x + 4y = 12
-x -x
4y = -x + 12
4 4 4
y = -¼x + 3
m = -¼, m┴ = 4
2) Use coordinate point & slope to write equation.
y – y1 = m(x – x1)
y – (-2) = 4(x – (-3))
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12.
1) Find the slope needed.
x + 4y = 12
-x -x
4y = -x + 12
4 4 4
y = -¼x + 3
m = -¼, m┴ = 4
2) Use coordinate point & slope to write equation.
y – y1 = m(x – x1)
y – (-2) = 4(x – (-3))
y + 2 = 4(x + 3)
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12.
1) Find the slope needed.
x + 4y = 12
-x -x
4y = -x + 12
4 4 4
y = -¼x + 3
m = -¼, m┴ = 4
2) Use coordinate point & slope to write equation.
y – y1 = m(x – x1)
y – (-2) = 4(x – (-3))
y + 2 = 4(x + 3)
y + 2 = 4x + 12
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12.
1) Find the slope needed.
x + 4y = 12
-x -x
4y = -x + 12
4 4 4
y = -¼x + 3
m = -¼, m┴ = 4
2) Use coordinate point & slope to write equation.
y – y1 = m(x – x1)
y – (-2) = 4(x – (-3))
y + 2 = 4(x + 3)
y + 2 = 4x + 12
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12.
1) Find the slope needed.
x + 4y = 12
-x -x
4y = -x + 12
4 4 4
y = -¼x + 3
m = -¼, m┴ = 4
2) Use coordinate point & slope to write equation.
y – y1 = m(x – x1)
y – (-2) = 4(x – (-3))
y + 2 = 4(x + 3)
y + 2 = 4x + 12
- 2 - 2
Ex. 2 Write the slope-intercept form of the equation through (-3, -2) perpendicular to the graph of x + 4y = 12.
1) Find the slope needed.
x + 4y = 12
-x -x
4y = -x + 12
4 4 4
y = -¼x + 3
m = -¼, m┴ = 4
2) Use coordinate point & slope to write equation.
y – y1 = m(x – x1)
y – (-2) = 4(x – (-3))
y + 2 = 4(x + 3)
y + 2 = 4x + 12
- 2 - 2
y = 4x + 10
Ex. 3 Write the slope-intercept form of the equation through (9, 0) parallel to the graph of y = -⅓x + 2.
Ex. 3 Write the slope-intercept form of the equation through (9, 0) parallel to the graph of y = -⅓x + 2.
1) Find the slope needed.
y = -⅓x + 2
m = -⅓, m|| = -⅓
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