2. Linear Functions Flashcards Preview

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Flashcards in 2. Linear Functions Deck (9)
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1
Q

General equation of a line

A

Ax + By = C

m = -A/B and b = C/B

2
Q

Slope-intercept form

A

y = mx+ b

m is slope and b is y-intercept

3
Q

Point-slope form

A

y – y1 = m(x – x1)

m is slope and (x1,y1) are the cooridinates of some point on the line

4
Q

Slope

A

m = (y1 – y2) / (x1 – x2)

(x1,y1) and (x2,y2) are the coordinates of two points

5
Q

Parallel lines…

A

have equal slopes

6
Q

Perpendicular lines…

A

have slopes that are negative reciprocals

7
Q

Distance between two points (x1,y1) and (x2,y2)

A

√( (x1–x2)2 + (y1–y2)2 )

8
Q

Coordinates of the midpoint between two points

A

( x1+x2 /2 , y1+y2 /2 )

9
Q

Distance between a point with coordinates (x1,y1) and a line Ax + By + C = 0

A

|Ax1 + By1 + C| / √( A2 + B2 )