Chapter 2 Flashcards
What is the distance equation?
P1 = (x1, y1)
P2 = (x2, y2)
d(P1, P2) = the square root of (x2 - x1)2 + (y2 - y1)2
What is the triangle area formula?
A = 1/2b • h
What is the Pythagorean theorem?
If it is a right angle triangle
c = the square root of a2 + b2
What is the midpoint formula?
M = (x1 + x2/2, y1 + y2/2)
What is slope intercept form? Identify the variables
m = slope
b = y intercept
What is the slope? How is it defined?
m = rise/run
Change in y/Change in x
Delta y/Delta x
y2 - y1/x2 - x1
What is the point slope formula and when do you use it?
y - y1 = m(x - x1)
Use it when you have a given point and the slope
What is the general form of lines?
Ax + Bx = C
A =
How can you define parallel lines?
Slope (m) is the same
Different y intercepts
How can you define perpendicular lines?
Product of slopes = -1
m1•m2 = -1
Or
Slope 1 = inverse of reciprocal of Slope 2
m1 = -1/m2
What is the standard form of an equation for a circle?
(x - h)2 + (y - k)2 = r2
What is the general form of the equation of a circle?
x2 + y2 + ax + by + c = 0
