Module 4 topic 3   2nd
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Module 4 topic 3 2nd

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Even more writing linear functions

Even more writing linear functions

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    Module 4 topic 3   2nd Module 4 topic 3 2nd Presentation Transcript

    • Module 4 Topic 3
      More – Writing Equations of Linear Functions
    • Example 1
      Slope = m
      The formula to find slope is;
      (y2 - y1) ÷ (x2 - x1)
    • Example 2
      What is the slope of a vertical line?
      Vertical lines have no slope so they are undefined.
    • Example 3
      What is the slope of a horizontal line? Horizontal lines have a slope of zero!
    • Example 4
      Similar Problem: Find the slope of the line that passes through (-3, 6) and (-4, 4).
      m = (4 - 6) ÷ (-4 - -3)
      m = -2 ÷ -1
      m = 2
    • Example 5
      Point-Slope form is y2 - y1 = m(x2 - x1)
    • Example 6
      Similar Problem: Write the equation of the line in point-slope form that has a slope of -4/5 and passes through the point (3, 11).
      y2 - y1 = m(x2 - x1)
      y - 11 = -4/5 (x - 3)
    • Example 7
      Similar Problem: Write the equation of the line in slope-intercept form that has a slope of -4 and passes through the point (2, 0).
      y = mx + b
      0 = -4(2) + b
      0 = -8 + b
      8 = b
      y = -4x + 8
    • Example 8
      What is the equation for Standard Form?
      Ax + By = C
    • Example 9
      Similar Problem: Change the linear equation y - 8 = 4(x - 3) to Standard Form.
      y- 8 = 4(x - 3)
      Solve for y.
      Distribute 4.
      y- 8 = 4x – 12
      Add 8 to each side.
      y= 4x - 4