An Introduction to Straight Line Graphs Drawing straight line graphs from their equations. Investigating different straight line graphs.

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Presentation transcript:

An Introduction to Straight Line Graphs Drawing straight line graphs from their equations. Investigating different straight line graphs.

y = x + 7 y = 3x – 5 y = 9 – 2x x y x y x y x y y = 2x Revising Substitution

Plotting Co-ordinates (1,2) x value y value x y (2, 4) (5, 10) (-4,-8) We have now revised substitution and co-ordinates. How could we draw the graph y = 2x?

Introduction to Straight Line Graphs - Solutions x y x y a) y = 2x + 3 b) y = 2x + 6 c) y = 2x – 4d) y = 17 – 2x Extension: Where does each graph intersect the y axis? Plot the points to draw the graphs. x02356 y x02468 y

Solutions y = 2x + 3 y = 2x + 6 y = 2x – 4 y = x – 10 y = 2x – 7 What do the graphs y = 2x y = 2x + 3 y = 2x + 6 y = 2x – 4 y = 2x – 7 have in common? What are the differences? x y

More Substitution Substitution: we replace the variables in the equation with numbers. Replace the x with a number, for example, 3. Now our equation is: y = 2 3 We can now find the value of y.  Equation: y = 2x (This is the same as y = 2 x.) 