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THE LINE

Exam Cog
MIDPOINT & DISTANCE

Midpoint = ((x₁+x₂)/2, (y₁+y₂)/2)

d = √((x₂-x₁)²+(y₂-y₁)²)

SLOPE

m = (y₂-y₁)/(x₂-x₁)

ax+by+c=0 → m = -a/b

Parallel: equal · Perp: m₁m₂=-1

EQUATION OF A LINE

y - y₁ = m(x - x₁)

Two points? Find the slope first

DRAWING

x=0 → y-intercept

y=0 → x-intercept · join them

AREA & CIRCLE

Area = ½|x₁(y₂-y₃)+x₂(y₃-y₁)+x₃(y₁-y₂)|

Circle: x²+y²=r²