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Straight Line Graphs 10/11/2018
Complete the table for the function y = 3x + 2 Thus draw the graph of y=3x + 2 on the grid X -2 -1 1 2 Y Complete the table for the function y = 2x - 1 Thus draw the graph of y= 2x - 1 on the grid X -2 -1 1 2 Y
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y = mx + c
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y = mx + c Every straight line can be written in this form. To do this the values for m and c must be found. c is known as the intercept, this is where the line crosses the y-axis y = mx + c m is known as the gradient, which indicates how steep the line is
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Finding the gradient 10/11/2018
Gradient is the slope of the line. Found with 𝑣𝑒𝑟𝑡𝑖𝑐𝑎𝑙 𝑑𝑖𝑓𝑓𝑒𝑟𝑒𝑛𝑐𝑒 ℎ𝑜𝑟𝑖𝑧𝑜𝑛𝑡𝑎𝑙 𝑑𝑖𝑓𝑓𝑒𝑟𝑒𝑛𝑐𝑒 Calculation Gradient
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Equations of lines 10/11/2018 1 -1 -2 2 3 4 -3
Find the equation of the following lines 1 -1 -2 2 3 4 -3
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Parallel Lines - Extension 10/11/2018
What is the equation of this line? 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 Can you draw line which is parallel to it? What is the equation of this line? What has stayed the same?
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Parallel Lines /11/2018 In parallel lines they both have the same gradient Examples: Give the equation of 2 lines which are parallel to the following lines Y = 3x b) y = 4x – 1 Do it yourself, give 2 lines which are parallel to the following lines Challenge, give 2 lines which are parallel to the following lines, hint: you may have to rearrange them) y = x + 2 y = 1 2 x – 3 y = 2x + 1 y = -3x + 2 3y = 6x + 18 2y = 3x – 1 2y = 10x -4 2y + 3x = 5
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2 1 3 4
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Find the equation of the following lines
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Find the equation of the following lines
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Find the equation of the following lines
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Find the equation of the following lines
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Complete the table for the function
y = 3x + 2 Thus draw the graph of y=3x + 2 on the grid X -2 -1 1 2 Y Complete the table for the function y = 2x - 1 Thus draw the graph of y= 2x - 1 on the grid X -2 -1 1 2 Y
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Complete the table for the function
y = 3x + 2 Thus draw the graph of y=3x + 2 on the grid X -2 -1 1 2 Y Complete the table for the function y = 2x - 1 Thus draw the graph of y= 2x - 1 on the grid X -2 -1 1 2 Y
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