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Warmups

Warmups. Find the slope of the line given (3,-2) and (5, 2) 2. Find the slope of the line given (-1,-3), (7,-6) Write an equation in point-slope form that passes through (-5,1) and (0,-2). 6-2 Writing Linear Equations in Point-Slope and Standard Forms.

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Warmups

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  1. Warmups • Find the slope of the line given (3,-2) and (5, 2) 2. Find the slope of the line given (-1,-3), (7,-6) • Write an equation in point-slope form that passes through (-5,1) and (0,-2)

  2. 6-2 Writing Linear Equations in Point-Slope and Standard Forms Objective: To write a linear equation in standard form

  3. Standard Form Ax + By = C “A” must be positive A, B, and C are integers (no fractions!)

  4. Convert Convert from point-slope to standard form:

  5. Example 1 Write an equation in standard form given: (2,13) m = 4

  6. Example 2 & 3 Write an equation in standard form given: (-5,-3) m = 4 (10,-3) m =

  7. Example 5 Given 2 ordered pairs, write an equation in standard form: (-2,1) (3,4) Steps: • Find slope m = y2 – y1 x2 – x1 • Pick an ordered pair and write an equation in point slope form • Convert to standard form (Ax + By = C)

  8. Example 6-7 Given 2 ordered pairs, write an equation in standard form: (-1,-7) (1,3) (-4,6) (-2,5)

  9. Special Cases • (10,5) (6,5) *Both y-coordinates are 5, so… y = 5 • (-1,10) (-1,-4) *Both x-coordinates are -1, so… x = -1

  10. Homework • Pg. 336 #27-32, 39-41

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