The midpoint of a line segment with endpoints
and has
coordinates .
The slope of a line passing through and
is
The equation of the line that passes through
and has slope m is
The equation of theline having slope m and y- intercept (0, b) is y = mx + b
If k ≥ 0 then |x| = k x
= k or x = −k
|X| = |Y | X = Y or X = −Y
|x| < k −k < x < k where k > 0
|x| ≤ k −k ≤ x ≤ k where k ≥ 0
If k ≥ 0 then |x| > k x < −k or x > k
If k ≥ 0 then |x| ≥ k x ≤ −k or x ≥ k
If b2 − 4ac = #2 then ax2 + bx + c factors into 2
different binomials
If b2 − 4ac = 0 then ax2 + bx + c factors into repeated factors
If ab = 0, then a = 0 or b = 0 if and only if ad = bc
If n > 1 and n is an even natural number then ,
If n > 1 and n is an odd natural number then ,
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and 
.
x
= k or x = −k
if and only if ad = bc
is the distance between
