Coordinate Geometry (Standard)

Coordinate Geometry: core idea

• 1. Find the distance between $(-1,2)$ and $(5,10)$.

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• 2. Find the midpoint of a segment whose endpoints are $(-3,4)$ and $(7,-2)$.

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• 3. Are $y=4x+1$ and $4x-y=9$ parallel, perpendicular, or neither?

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• 4. A circle has center $(2,-1)$ and radius $4$. Write its equation.

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• 5. Find where $y=x+2$ crosses $y=10-x$.

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• 6. Rotate $(3,1)$ $90^\circ$ counterclockwise about the origin.

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• 7. Find the area of the rectangle with vertices $(0,0),(6,0),(6,4),(0,4)$.

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• 8. A line through $(1,4)$ and $(5,k)$ has slope $-2$. Find $k$.

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• 9. Find the equation of the horizontal line through $(3,-7)$.

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