Linear equations
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Linear equations

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    Linear equations Linear equations Presentation Transcript

    • February 6, 2008 Linear Equations y = mx + b
      • Slope = rise = m =
      • run
      • difference of y’s
      • difference of x’s
      • (3, 2) (4, 7) 7 – 2 = 5 = 5
      • 4 – 3 1
      • y – intercept = b = the point where the line crosses the y axis = starting point when graphing
      • b = -6
      • Special lines only contain one variable:
      • x = any number ( vertical line )
      • Slope: Undefined
      • x = 7
      • y = any number ( horizontal line )
      • Slope : Zero
      • y = 7
      • Finding the equation of the line in y= mx + b form. Given: Two points. First find the slope (m) and then substitute one of the points x and y values into point-slope form
      • (y – y 1 = m(x – x 1 ) along with the slope. Simplify.
      • Finding the equation of the line in y = mx + b form. Given: slope (m) and a point (x,y). Substitute x, y, and m into point-slope form and simplify. (y – y 1 = m(x – x 1 )
      • Finding the equation of the line in y= mx + b form. Given: slope and y-intercept. Substitute the “m” with the slope value and the “b” with the y-intercept value.
      • Slope: 5 y-intercept: -2
      • Equation: y = 5x - 2
      • Graphing the line – start with the
      • y-intercept and then move the rise and then the run. Positive slopes increase from left to right. Negative slopes decrease from left to right