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This lesson covers writing slope-intercept equations and graphing linear functions. Practice equations provided for graphing y=1/5x-2, y=6x-1, y=-5/2x, y=-7x+3, y=2x-5, y=-6x+1, y=-1/3x+4, y=0, y=7x-5, y=-6x+5, y=-5/2x+5, followed by understanding the concepts of y-intercept, slope, and steps for graphing using y=mx+b.
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February 10, 2010 Graphing with Slope Intercept Form
Warm Up 2/10 • Write the slope intercept equation for the following linear function. • Write the slope intercept form of the equation: -x + 3y = 9
5 4 3 2 1 –5 –4 –3 –2 –1 0 1 2 3 4 5 –1 –2 –3 –4 –5 Graphs y y = 1/5 x - 2 x
5 4 3 2 1 –5 –4 –3 –2 –1 0 1 2 3 4 5 –1 –2 –3 –4 –5 Graphs y = 6x - 1 y x
5 4 3 2 1 –5 –4 –3 –2 –1 0 1 2 3 4 5 –1 –2 –3 –4 –5 Graphs y = -5/2 x y x
5 4 3 2 1 –5 –4 –3 –2 –1 0 1 2 3 4 5 –1 –2 –3 –4 –5 Graphs y = -7 x + 3 y x
5 4 3 2 1 –5 –4 –3 –2 –1 0 1 2 3 4 5 –1 –2 –3 –4 –5 Graphs y = 2 x - 5 y x
5 4 3 2 1 –5 –4 –3 –2 –1 0 1 2 3 4 5 –1 –2 –3 –4 –5 Graphs y = -6x + 1 y x
5 4 3 2 1 –5 –4 –3 –2 –1 0 1 2 3 4 5 –1 –2 –3 –4 –5 Graphs y = -1/3x + 4 y x
5 4 3 2 1 –5 –4 –3 –2 –1 0 1 2 3 4 5 –1 –2 –3 –4 –5 Graphs y = 0 y x
5 4 3 2 1 –5 –4 –3 –2 –1 0 1 2 3 4 5 –1 –2 –3 –4 –5 Graphs y = 7x - 5 y x
5 4 3 2 1 –5 –4 –3 –2 –1 0 1 2 3 4 5 –1 –2 –3 –4 –5 Graphs y = -6x + 5 y x
5 4 3 2 1 –5 –4 –3 –2 –1 0 1 2 3 4 5 –1 –2 –3 –4 –5 Graphs y = -5/2x + 5 y x
5 4 3 2 1 –5 –4 –3 –2 –1 0 1 2 3 4 5 –1 –2 –3 –4 –5 Graphs y = -2/5x - 4 y x
One and Done • Monday Define the y-intercept of a line and give the variable that represents it. • Tuesday Define the slope of a line and give the variable that represents it. • Wednesday Describe the steps you should use to graph a line using the slope intercept form of the equation (y=mx +b)