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Coordinate Geometry
Year 9 coordinate geometry of a straight line
7
Mathematics
9th Grade
03/01/2017

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Cards

Term
Equation of a line
Definition
[image]

Where: m is the gradient
c is the y intercept
Term
Calculating Gradient from an Equation
Definition
Straight lines have the form [image]

m is the gradient
Term
Calculating y Intercept from an Equation
Definition
Straight lines have the form [image]
c is the gradient (it occurs at x=0)
Term
Calculating the gradient of a line between Two Points
Definition
The equation of a line can be re-written as:

[image]
Term
Equation of a Parallel Line
Definition
If the original line is [image] then the parallel line is [image]

Where:
d is the y intercept and has a different value to c in the original equation
Term
Equation of a Perpendicular Line
Definition
Where the original equation is [image] the perpendicular is [image]

Where
c and d are y intercepts of their respective equations
Term
Plotting an Equation of a Line
Definition
Create a table of x values containing at least three values.
Calculate the values for y at these x values
Plot the points on a correctly drawn set of axes.
If you have done your calculations correctly they will join into a line.
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