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Good Morning!
Take Out Paper for Notes!
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Graphs and Linear Equations

• What do you remember about

Lines?
Graphs?
Slope?
Cartesian Plane?
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On a number line, each point is the graph of a
number. On a plane, each point is the graph of an
ordered pair.
Where would place the following? x-axis
y-axis Origin Quadrants
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Rene Descartes

• French Mathematician and Philosopher
• Use a coordinate system to combine algebra and
  geometry
• Laid the foundation for analytic geometry

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Find 3 points that satisfy the following
conditions

• The x-coordinate is the same as the y-coordinate
• The absolute values of the x-coordinate and the
  y coordinate are the same
• The product of the coordinates is 2

• ( ) ( ) ( )
• ( ) ( ) ( )
• ( ) ( ) ( )

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Equations whose graphs are lines are called
linear equations.

• Linear

• Non-Linear

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The solution of an equation with two variables is
an ordered pair of numbers, which can be plotted
on a coordinate plane.
A graph of an equation is a drawing that
represents its solutions.
So.. How many ways can we graph?
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Ways to graph

1. T-table
2. Intercepts ( Using x and y intercepts)
3. Slope Intercept ( Using the slope and
   y-intercept)
4. Point-Slope ( Using one point and the slope)

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T-table

• Example 1

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T-table

• Example 2

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T-table

• Example 3

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Hit or Miss.

• Now its your turn.

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Graphing by Intercepts

• This method uses 2 very specific points on the
  graph.
• x-intercept- point where the graph intersects
  the x-axis
• y-intercept- point where the graph intersects
  the y-axis

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How do you find intercepts?

• x-intercept
• From the given equation,
• let y 0 , then solve for x.

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How do you find intercepts?

• y-intercept
• From the given equation,
• let x 0 , then solve for y.

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Example 4
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Example 5
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Message in Code graph by intercepts

• Your turn .