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
y = mx + c
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
Finding the gradient 10/11/2018 Gradient is the slope of the line. Found with 𝑣𝑒𝑟𝑡𝑖𝑐𝑎𝑙 𝑑𝑖𝑓𝑓𝑒𝑟𝑒𝑛𝑐𝑒 ℎ𝑜𝑟𝑖𝑧𝑜𝑛𝑡𝑎𝑙 𝑑𝑖𝑓𝑓𝑒𝑟𝑒𝑛𝑐𝑒 Calculation Gradient
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
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? -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Parallel Lines 10/11/2018 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 + 2 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
2 1 3 4
Find the equation of the following lines
Find the equation of the following lines
Find the equation of the following lines
Find the equation of the following lines
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
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