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An Introduction to Straight Line Graphs Drawing straight line graphs from their equations. Investigating different straight line graphs. Revising Substitution y = 2x x -4 1 2 5 y -8 2 4 10 x 4 6 y 11 y=x+7 y = 3x – 5 x 2 5 1 y 1 10 -2 y = 9 – 2x 8 -6 13 15 1 x 3 4 5 0 y 3 1 -1 9 Plotting Co-ordinates y 10 x value y value 8 6 (1,2) (2, 4) (5, 10) (-4,-8) We have now revised substitution and co-ordinates. How could we draw the graph y = 2x? 4 2 -10 -8 -6 -4 -2 2 -2 -4 -6 -8 -10 4 6 8 10 x Introduction to Straight Line Graphs - Solutions Plot the points to draw the graphs. b) y = 2x + 6 a) y = 2x + 3 x -7 0 1 y -11 3 5 4 6 11 15 c) y = 2x – 4 x -5 -2 2 y -4 2 3 5 10 12 16 d) y = 17 – 2x x 0 2 3 5 6 x 0 2 4 6 8 y -4 0 2 6 8 y 17 13 9 5 1 Extension: Where does each graph intersect the y axis? y 14 Solutions 12 10 What do the graphs y = 2x y = 2x + 3 y = 2x + 6 y = 2x – 4 y = 2x – 7 have in common? 8 6 y = 2x + 6 y = 2x – 4 4 y = 2x – 7 2 -8 -6 -4 2 -2 4 6 2 What are the -4 differences? -6 -8 y = 2x + 3 -10 -12 -14 y = x – 10 8 x More Substitution Substitution: we replace the variables in the equation with numbers. Equation: y = 2x (This is the same as y = 2 x.) Replace the x with a number, for example, 3. Now our equation is: y = 2 3 We can now find the value of y.