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Plot and Interpret Graphs
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How do you...
3 years ago
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Shania Cruickshank
2 Answers
Experienced Maths tutor, infectiously enthusiastic
m represents the gradient
c represents the y axis intercept (where the graph crosses the y axis)
Start by plotting the point (0,c) which your line passes through
Then plot a second point using the gradient..
e.g. if m = 2 then increasing x by 1 increases y by 2, so (1, c+2) will be your next point on the graph
Plot a line through these points
Remember that negative gradient means an increase of 1 for x causes a decrease of m for y
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Click here to view my profile and arrange a free introduction.First mark the point where the line will cross the y axis which is at y = c.
Then the gradient m tells you which way your line should slope and also how many to go up or down for every 1 unit across. If m is positive the lines slopes like this / and if it is negative it slopes like this \.
To plot the line, first plot a second point starting from the first point you marked at y = c. You do this by going across one unit horizontally and if m is + then you go up by m units and if m is - you go down by m units.
Once you have your second point it is worth repeating the process to get a third point for safety and then you can draw a line that goes through all 3 points.
Example: y = 2x + 3
First point will be (0, 3)
Next point will be (1, 3+2) = (1, 5)
Next point will be (2, 5 + 2) = (2, 7)
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