Slope

Slope

Geometric ratio
1. Rise over run
2. Vertical change over horizontal change
Algebraic ratio
1. Change in y over x
2. Δy --- Δx
3. y2 - y1 ------------ x2 - x1
Real-world situation
1. Static, physical situation
2. Dynamic, functional situation
Physical property
1. “steepness of a line”, “slant”, “pitch”, “how high up” “it goes up”
Functional property
1. Constant rate of change between variables
Parametric coefficient
1. Coefficient m in equation y=mx+b
2. m in y2-y1=m(x2-x1)
Trigonometric conception
1. Tangent of a line’s angle of inclination
  1. tan(a)
2. Direction component of a vector
Calculus conception
1. Limit
2. Derivative
3. Tangent line to a curve at a point
Determining property
1. Property that determines parallel, perpendicular lines
2. Property with which a line can be determined, if you are also given a point
Behavior indicator
1. Real number with sign which indicates increasing, decreasing, horizontal trends of line
2. Real number with magnitude which indicates amount of increase/decrease of line
3. Real number that, if positive or negative, indicates line must intersect the x-axis
Linear constant
1. Property that is unaffected by translation
2. Constant property unique to “straight” figures
3. Constant property independent of representation

Resource summary

	Created by Dimitra Rem over 6 years ago

	Copied by Dimitra Rem over 4 years ago