Chapter 4 Vocabulary -Not finished Flashcards

1
Q

Slope-Intercept Form

A

y=mx+b

m=slope : b=y-intercept

Example: y=5x+8

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2
Q

What are the steps to…

Solve for B

Slope-Intercept Form

A
  1. Put in y, x, and m (slope)
  2. Find the variable (b)
  3. Put m and b into y=mx+b
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3
Q

Point-Slope Form

A

y-y1=m(x-x1)

m=slope : y1=y in coordinate pair : x1=x in coordinate pair

Example: y-5=7(x-3)

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4
Q

What are the steps to…

Go From Point-Slope to Slope-Intercept

A
  1. Distribute
  2. Isolate y

y+7=2(x-6) : y+7=2x-12 : y=2x-19

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5
Q

What are the steps to…

Go From Slope-Intercept to Standard Form

A
  1. Move x

y=2x-19 : y-2x=-19 or -2x+y=-19

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6
Q

What are the steps to…

Go from Standard-Form to Slope-Intercept

A
  1. Move x
  2. Isolate y

4x+6y=12 : 6y=-4x+12 : y=(-2/3)x+2

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7
Q

Standard Form

A

Ax+By=C

Example: 6x+8y=90

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8
Q

How do the slopes of parallel lines compare?

A

Parallel lines have the same slope

Example: 3/4 and 3/4

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9
Q

How do the slopes of perpendicular lines compare?

A

They have opposite, reciprocal slopes

example: 3/4 and -4/3

Exception: Vertical and horrizontal lines have 0 and undefined as the slope

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