101 SLOPE OF A LINE

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10-1 SLOPE OF A LINE

• Define
• Slope
• Positive slope
• Negative slope
• Zero slope
• No slope

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• B. Find slope given
• Chart
• Graph
• Two points

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• C. Examples
• (2, 3), (4, 6)
• (3, -4), (5, 6)
• (r, 4), (7, 3) m3/4

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10-2 POINT-SLOPE AND STANDARD FORM EQUATIONS

• Forms
• Standard Form
• Point-slope Form
• Changing forms
• Add or subtract to move forms

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C. Write in standard form

• 1. Given (x, y) and m
• Write using point-slope form
• Distribute m
• Move parts to standard form
• Example (2, 3) m5

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C. Write in standard form (cont.)

• 2. Given 2 points
• a. Find slope
• b. Choose a point
• c. Use steps above
• Example (2, 4), (5, 6)

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10-3 SLOPE-INTERCEPT FORM OF LINEAR EQUATIONS

• Define
• x-intercept
• y-intercept
• Slope-intercept Form
• y mx b

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• C. Find x-intercept
• plug-in y0
• 1. x y 5 2. 3x 4y 12
• D. Find y-intercept
• plug-in x0
• 1. x y 5 2. 3x 4y 12

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• E. Find slope y-intercept
• y mx b
• 1. y 3x 4 2. y -x 18
• F. Write in slope-intercept form
• solve for y
• 1. 2x y 5 2. 3x 2y 10

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10-4 GRAPHING

• Review using a chart
• 2x 3y 6 2. y 2x 5
• Graphing using xy intercepts
• Find xy intercepts
• Graph xy intercepts
• Connect points

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C. Graphing using slope y-int.

• Graph y-intercept (starting point)
• Count the slope
• Connect points
• D. Examples

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10-5 WRITING SLOPE-INTERCEPT EQUATIONS

• Steps
• Find slope
• Plug-in x,y, and m
• Solve for b
• Use y mx b Replace m b

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• B. Examples
• m 3 b -2
• m 3 (5, -2)
• (-1,7), (8, -2)

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10-6 PARALLEL AND PERPENDICULAR LINES

• Define
• Parallel lines
• Perpendicular lines
• Steps
• Use given equation to find slope
• Use steps from section 10-5

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• C. Find the equation of the line parallel to a
  given line and passing through a given point
• 2x 3y 1 (4, 2)
• D. Find the equation of the line perpendicular to
  a given line and passing through a given point
• y -3x 7 (-3, 1)