By Danielle Flores

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Equations!
On the TI-83 Plus

• By Danielle Flores

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What will we be doing?

• Learning about slope-intercept form
• Determining solutions to an equation in
  slope-intercept form
• Using the TI-83 Plus to find solutions
• Graphing equations that are in slope-intercept
  form
• Using the Ti-83 Plus to see graphs of equations

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Parts of an Equation

• Slope-intercept form of an equation
• y mx b
• m slope
• b y-intercept

2x 3 y
b (y-intercept)
m (slope)
What is one point on this line???
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Points on Line

• Is ( 2, 7) a solution to the equation 2x 3 y?
• To Solve
• Substitute 2 for x 2(2) 3 y
• Substitute 7 for y 2(2) 3 7
• Solve 4 3 7
• Are both sides equal? 7 7
• If nothen the point is NOT a solution!
• If yesthen the point is a solution!
• So (2, 7) is a solution!!

Lets try another one
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Example 2

• Is ( -3, 10) a solution to the equation y 2x
  3?
• Step 1 2(-3) 3 y
• Step 2 2(-3) 3 10
• Step 3 -6 3 -3
• Step 4 -3 ? 10

Therefore (-3, 10) is not a solution!
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Table on the TI-83 Plus

• Click on the Y button
• Enter the equation 2x 3 into Y1
• Click the 2nd (yellow) button then WINDOW
• Go to Indpnt and set it equal to ASK

Help your neighbor if they need it
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Tables on the TI-83 Plus

• Click the yellow 2nd button then GRAPH
• Enter a number into the x column
• Ex. 101
• What y-value did you get?

205
This is easier isnt it?? (And Fun!)
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How to Use the Tables

• We can use the tables on the calculator to
• Find solutions to an equation
• (in slope-intercept form)
• Use solutions to graph the line
• Find large x-values quickly!
• Check your answers
• Find y-intercept

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Graphing Equations (by hand)

• To graph an equation by hand
• Step 1 Find the y-intercept
• By hand or TI-83 Plus
• Step 2 Use the slope to find at least two more
  points
• Step 3 Connect the points.
• Step 4 Add arrows to show infinite direction.

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Example
Try 2x 1 y

• Remember
• Find the y intercept
• Use the slope to find at least two more points
• Connect and add arrows!

I hope your graph looks like this!
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Graphs on the TI-83 Plus

• Click Y button
• Type the equation (2x 1 ) in Y1
• Click on ZOOM button
• Click 6, then enter
• Click GRAPH

Do you see your graph? Wasnt that exciting??
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What did we just do???

• Slope-Intercept Form
• Solutions to Equations
• By Hand
• On TI-83 Plus
• Graphing Equations
• By Hand
• On TI-83 Plus

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The End
Homework Page 260 6-8 (You need graph paper!!)