Calculus - P.2 Linear Models and Rates of Change Flashcards Preview

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Flashcards in Calculus - P.2 Linear Models and Rates of Change Deck (9)
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Slope

Rate of change, rise/run, steepness, slant, tilt

Formula:
y2-y1/x2-X1

Note 1: Any two collinear points will have the same slope

Note 2: Ratio: Dy/Dx

1

Possibilities for slope of a line

1. m>0 -> rises to the right
2. m<0 -> rises to the left
3. m is undefined -> n/0 -> vertical
4. m=0 -> horizontal

2

Point-Slope Form

y=m(x-X1)+y1

Used: When a slope and a point are given

3

Slope-Intercept Form

y=mx+b

Used: Almost always whenever an "equation" of a line is asked for

4

General Form

Ax+By+C=0

Must have: A-B-C order, no fractions, Ax_>0
Used: Sparingly => only when asked

5

Vertical line

X=c,
where c is the x-coordinate of the points

Used: When slope is undefined

6

Horizontal line

Y=b,
where b is the y-coordinate

Used: When the slope is 0

7

Perpendicular lines

Slopes are negative reciprocals
m1=1/m2 flip and change sign

8

Parallel lines

m1=m2
Slopes are the same