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Bellwork Tuesday, November 30th
Are the 2 lines parallel, perpendicular or neither? You’ll need 2 colors today. Either pens, colored pencils or markers.
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Writing and Graphing Linear Equations
Identifying Linear Functions Using Intercepts Rate of Change and Slope Slope-Intercept Form Writing a Linear Equation Given Two Points Slopes of Parallel and Perpendicular Lines Translating Linear Functions Test: December 3rd – 6th
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Ex #1 1. Graph y = x ● 2. Use a different colored pencil and graph y = x – 5 on same coordinate plane. ● ● ● ● ● ● ● 3. Describe the differences between the graphs. 4. Describe the differences between the equations. 5. What stayed the same? What’s different?
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Ex #2 ● 1. Graph y = -2x + 1 ● ● ● 2. Use a different colored pencil and graph y = -2x+5 on same coordinate plane. ● ● ● ● 3. Describe the differences between the graphs. 4. Describe the differences between the equations. 5. What stayed the same? What changed?
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the graph “slides” down.
When two equations in slope-intercept form have the same slope, but different y-intercepts, it is called a translation. When the “b” decreases, the graph “slides” down. y = x y = x - 5 When the “b” increases, the graph “slides” up. y = -2x + 1 y = -2x + 5
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Ex #3 #1 Graph y = 2x #2 Graph y = 2x - 6 Describe the translation from #1 to #2. ● ● ● All points shift 6 units down. ● ● ●
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Ex #4 Translate the graph 8 units down. ● ● ● ● ● ● Write the new equation.
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Ex #5 If the slope of y = 3x + 5 is changed to its negative reciprocal but everything else stays the same, what is the new equation? Step 1: Opposite reciprocal of 3 = New equation Will the x-intercept change?
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Compare the slope and y-intercept in the two equations.
Ex #6 Compare the slope and y-intercept in the two equations. 3x – 6y = 36 Must be in slope-intercept form before I make a comparison! -2x + 4y = -16 3x – 6y = 36 -6y = -3x + 36 -2x + 4y = -16 4y = 2x - 16
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Ex #7 Graph the equation x = 4. x y 4 ● 4 1 ● ● 4 2
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Ex #8 Graph the equation y = -8. x y -8 1 -8 2 -8 ● ● ●
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ALL VERTICAL LINES HAVE THE EQUATION:
X = _____ Slope is undefined!! ALL HORIZONTAL LINES HAVE THE EQUATION: y = _____ Slope is 0!!
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Ex #9 Find three solutions from the graph. Organize your results in a table of values. x y 6 6 1 6 2
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