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10 Maths - Coordinate Geometry
Australian Curriculum Maths 10 + 10A Coordinate Geometry Unit
9
Mathematics
10th Grade
07/25/2013

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Cards

Term
Distance formula (for finding the distance between two points)
Definition
P1P2 = √(x2 - x1)^2 + (y2 - y1)^2

Also known as.. Pythagoras' Theorem
Term
Midpoint formula
Definition
P1P2 = (x1 +x2/2 , y1 + y2/2)
Term
Gradient/slope formula
(when you have two points on the line)
Definition
mP1P2 = y2 - y1/x2 - x1
Term
Which pronumeral stand for gradient?
Definition
Gradient/slope = m
Term
Slope intercept form
Definition
y = mx + c
where m = gradient, c = y-intercept
Term
General form
Definition
ax + by + c = 0
Term
m(gradient) = ?/?
Definition
m = rise/run
Term
What does rise/run mean?
Definition
Difference of y coordinates/difference of x coordinates
Term
What happens when the gradient...

>0 ?
<0 ?
= 0 ?
undefined ?
Definition
When the gradient is..
>0, the line rises to the right (goes uphill)

<0, the line falls to the right (goes downhill)

= 0, the line is horizontal (flat)

undefined, the line is vertical (goes up and down)
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