# graphs notes

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- Created by: louisepardoe
- Created on: 08-06-16 08:16

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**X, Y and Z coordinates**

finding the midpoint of a line segment

- find the average of the two x-coordinates, then do the same for the y-coordinates
- these will be the coordinates of the midpoint

**straight line graphs**

horizontal and vertical lines: 'x = a' and 'y = a'

the main diagonals: 'y = x' and 'y = -x'

other sloping lines through the origin: 'y = ax' and 'y = -ax'

- a tells you the steepness of the line
- the bigger a is, the steeper the slope
- a minus sign tells you it slopes downhill

**plotting straight line graphs**

the tables of 3 values method

- choose 3 values of x and draw up a table
- work out the corresponding y vlaues
- plot the coordinates and draw the line

the x=0, y=0 method

- set x = 0 in the equation, and find y - this where it crosses the y axis
- set y = 0 in the equation and find x - this is where it crosses the x axis
- plot these two points and join them up with a straight…

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