If 2 lines are perpendicular then the product of their slopes =
-1
Except horizontal / vertical lines
System of equations
Parallel lines will be
Inconsistent
System of equations
2 lines that meet at 1 point called
Consistent Independent
System of equations
2 of The same lines
Consistent Dependent
Naming polynomial degree
x^2 + x^1 + 4
Highest exponent 2
What is the standard form equation of a line
ax + by = c
Point slope form of a line
y - y1 = m(x-x1)
Name each term in the quadratic equation
4x^2 + 2x - 5
Quadratic
Linear
Constant
Quadratic equation written in standard form
ax^2 + bx + c = 0
Modelling exponential growth % equation
y = a(1+r)^t
Modelling exponential decay equation
y^(t) = ab^t
a initial value
b decay factor fraction
t time
Modelling decay % equation
y = a(1-r)^t
a initial number
r decay rate %
t time
Formula distance between 2 points in 3D Cartesian space
d =
√(x2-x1)^2 + (y2-y1)^2 + (z2-z1)^2
Formula distance between 2 points in Cartesian plane
d =
√(x2-x1)^2 + (y2-y1)^2
Quadratic formula
-b ± √b^2 - 4ac/ 2a
What is the discriminant
D = b^2 - 4ac
What does a positive discriminant mean.
D > 0
2 distinct real solutions
What does it mean if Discriminant is 0.
D = 0
1 real solution
‘Double root’
What does it mean if Discriminant is negative
D < 0
No real solutions
If Discriminant is a perfect square?
Has 2 rational solutions
If Discriminant is NOT a perfect square?
Has 2 irrational solutions
