Chapter 6 Flashcards

0
Q

Standard Form

A

Ax+By=C; where A, B, and C are real numbers

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1
Q

6.1- Graphing Lines

Definition of a Linear Function

A

All the points that satisfy them form a straight line

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2
Q

6.2

Definition of slope

A

Ratio of the rise(vertical change) to the run(horizontal change)

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3
Q

Formula for slope

A

M= rise y2-y1
—— = ———-
Run. x2-X11

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4
Q

6.3

How do you change a linear equation to slope-intercept form?

A

Solve the linear equation for Y, then arrange terms on the right side with the variable term first

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5
Q

Standard and slope intercept form formulas

A

Standard: Ax+By=C Slope Intercept: y=mx+b

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6
Q

6.4

Ways to write a linear equation w/ given information

A
  1. Slope and y-intercept of the line
  2. Slope and point of a line
  3. 2 points on the line
  4. The graph of the line
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7
Q

When the slope and any other point are known:

A
  1. Substitute the slope (=m)
  2. Put into the slope-intercept form
  3. Solve for b
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8
Q

How to solve when given the slope and y-intercept

A

Sub the variables (m and b) for the values in y=mx+b

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