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Unformatted text preview: A linear equation can be put in standard form: Ax + By = C (A and B are not both 0) To put an equation in standard form, get all variables on the left side of the equation and the constant term on the right side. y = 4x + 4-4x -4x-4x + y = 4 or 4x – y = -4 x-intercept : point where a graph crosses the x-axis y-intercept : point where a graph crosses the y-axis To find x-intercept, let y=0 and solve for x To find y-intercept, let x=0 and solve for y To graph any linear function: A) Find a least two ordered pair solutions (I prefer three) B) Plot the ordered pairs C) Draw a line through them Example: ½ x – y = 0 First solve for y: y = ½ x Make a table of solutions: x y-2-1 2 1 8 6 4 2 2 4 6 8 10 5 5 10 15 To graph non-linear equations, we need to find more ordered pair solutions. Example: y = x² x y-3 9-2 4-1 1 1 1 2 4 3 9 Example: y = |x| x y-3 3-2 2-1 1 1 1 2 2 3 3 You can also graph equations on a graphing calculator!...
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This note was uploaded on 05/13/2011 for the course MTH 110 taught by Professor Helenius during the Spring '08 term at Grand Valley State.
- Spring '08