Linear Equations Flashcards

1
Q

Slope Intercept Form

A

y = mx + b

where
1. x and y are every/any ordered pair (coordinate)
2. m is the slope
3. b is the y-intercept

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2
Q

Point-Slope Form

A

y - y1 = m(x - x1)

where
1. x and y are every/any ordered pair (coordinate)
2. m is the slope
3. x1 and y1 are the GIVEN point.

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3
Q

Standard Form

A

Ax + By = C

where:
1. x and y are every/any ordered pair (coordinate)
2. A is an INTEGER
3. B is an INTEGER
4. C is an INTEGER

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4
Q

Graphing slope intercept form

A
  1. identify the y-intercept.
    Put that point on your coordinate plane
  2. identify the slope AS A FRACTION
    graph rise/run from the y-intercept already placed
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5
Q

Graphing Point-Slope form

A
  1. identify the given point
    Remember the given point is x1, y1
    Put that point on coordinate plane

2.2. identify the slope AS A FRACTION
graph rise/run from given point already placed

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6
Q

Graphing Standard Form

A
  1. replace 0 for y to find the x-intercept
    put that point on coordinate plane
  2. replace 0 for x to find the y-intercept
    put that point on coordinate plane
  3. Draw the line through these two points
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7
Q

Writing a linear equation in slope intercept form

A

To WRITE a linear equation in slope intercept form, we need to be given information:
The slope
The y-intercept

EXAMPLE:
Slope = 1/3
y intercept = 4

equation:
y = 1/3x + 4

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8
Q

Writing a linear equation in point-slope form

A

To WRITE a linear equation in point-slope form, we need to be given information:
The slope
One point

EXAMPLE:
Slope = 1/4
Given Point = (6, 7)

equation:
y - 7 = 1/4(x -6)

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9
Q

Converting slope intercept form into standard form

A
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10
Q

Converting Point-Slope form into Slope intercept form

A
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11
Q

Lattice Points

A

x and y are integers
they fall directly in the crosshairs of your graph

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