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					  Linear Equations

Slope-Intercept and Standard
            Form
       Slope-Intercept Form
• Any linear equation can be solved for y
  and written like this:



• This form of a linear equation is called
  ______-_________ form.
       Slope-Intercept Form

• The “m” represents the _____ of the
  line.

• It is often convenient to write the slope
  as a fraction, since slope is defined
  as...
       Slope-Intercept Form

• The “b” represents the __-__________.

• (Which is where the line crosses the __-
  _____.)

• It is important to pay attention to the
  signs of both m and b!
                y = 3x - 5
• Can you determine the slope and the y-
  intercept of this equation?



• The slope is ___

• Which we might choose to write as ___
• (to make the “rise” and “run” more obvious)
               y = 3x - 5
• What about the y-intercept?

• You didn’t miss the negative sign did
  you?

• We can graph this equation by first
  plotting the y-intercept, then plotting a
  second point found via the slope!
                  y = 3x - 5
• Could you sketch
  the graph?

• First plot the y-
  intercept.

• The “rise” is __.
• The “run” is __.
              3x + 2y = 4
• Re-write the equation in slope-intercept
  form.
• Solve for y. Put the “x” term first on the
  right side of the equation.




• The slope is ___ and the y-int is ___.
             y = -3/2x + 2
• Now graph the linear equation.
    Writing a Linear Equation
• Suppose you were given a point on a
  line and a slope. Could you write the
  equation of the line?



• How could you find the y-intercept?
m = 2/3 and the line contains (-3,-2)
• Since we know the slope and at least
  one value of x and y that makes the
  equation true, we can simply substitute
  and solve!
    Writing a Linear Equation
• Now we know both the slope and the y-
  intercept. Can you write the equation in
  both slope-intercept and standard
  form?
• Write the equation in slope-intercept
  form.

				
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posted:10/1/2012
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