Coordinate geometry

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Last updated 6:14 PM on 10/10/26
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14 Terms

1
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Slope formula
m = (y₂ − y₁)/(x₂ − x₁).
2
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Midpoint formula
((x₁ + x₂)/2, (y₁ + y₂)/2).
3
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Distance formula
√[(x₂ − x₁)² + (y₂ − y₁)²].
4
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Slope-intercept form
y = mx + b.
5
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Point-slope form
y − y₁ = m(x − x₁).
6
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Standard form of a line
Ax + By = C.
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Finding the x-intercept
Set y = 0 and solve for x.
8
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Finding the y-intercept
Set x = 0 and solve for y.
9
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Horizontal line slope
0.
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Vertical line slope
Undefined.
11
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Circle centered at origin
x² + y² = r².
12
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Circle centered at (h, k)
(x − h)² + (y − k)² = r².
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Distance from origin to (x, y)
√(x² + y²).
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Graph intersection
A point where two graphs have the same x- and y-values.