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Slope and One Point
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P (3,2) ; m = 1/2
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P (2,2) ; m = 3/4
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Positive Slope in Fraction
Form and Y - Intercept
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Any line in the coordinate plane has y-intercept b if it intersects the y-axis at a point (0,b). Therefore the graph of linear function can also be drawn if the y-intercept b and the slope m are given.
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The y-intercept or b has the coordinate (o,b).
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The slope or m, on the other hand, is the rise and run, and often written in fraction form.
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Example # 1
b = 2 ; m = 4/3
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Locate the y-intercept in the y-axis.
Step 1
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With the intercept as the starting point, determine another point using the given slope.
Step 2
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Connect points to obtain the graph of linear function.
Step 3
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Example # 2
b = -3 ; m = 2/3
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Example # 3
b = -4 ; m = 6/5
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Example # 4
b = 3 ; m = 4/3
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Directions: Graph the linear function using the given slopes and y-intercepts. What shape is formed from the different lines?
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1.) b = 3 ; m = 3/4
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2.) b = 0 ; m = 7/5
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3.) b = -3 ; m = 7/3
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4.) b = 5 ; m = 2/6
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Directions: Plot the given slopes and points on the Cartesian plane. Write the coordinates of the new points formed.
1. b = -2 ; m = 3/72. b = -4 ; m = 5/83. b = 1 ; m = 4/5
Assignment