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Wednesday, March 1 st. Warm Up. Please have Graphing and tables worksheet out! . Explain how you graph the point (-5, 9) 2. What quadrant does the point (-11, -9) fall in ?. Corny of Joke of the Day. What did the bee say to the flower? Hello honey!. Homework Answers.
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Wednesday, March 1st Warm Up Please have Graphing and tables worksheet out! Explain how you graph the point (-5, 9) 2. What quadrant does the point (-11, -9) fall in?
Corny of Joke of the Day What did the bee say to the flower? Hello honey!
Do You Remember? • Which axis is the horizontal axis? _____________ • Which axis is the vertical axis? _____________
Goal for Today Equations to Tables to Graphs
Steps • Make an input/output table for the equation, with the given x values. • x values on the left and y values on the right • Graph the equation on the coordinate plane by using (x,y)
Example #1 Y = 2x for x=1,2,3,4
Example #2 Y=x÷2 for x=4, 6, 8, 10
Example #3 Y=3x-7 for x=4,5,6,7
Steps • Substitute x and y into the equation • Perform operations to see if both sides of the equations are equal
Just Watch Is ( 3 , 8 ) a solution forthe equation 8=5(3)-7 8=15-7 8=8 CORRECT!
You Try! • ( 10 , 5 ) for • ( 1.3 , 3.9 ) for • ( 12 , 3 ) for • ( 27 , 9 ) for • ( 4 , 11 ) for
Direct Variation
The Basics • The direct variation equation is y = kx • Two quantities are in direct proportion if the proportions between them never changes. • No matter how one quantity changes, the other quantity changes in the same direction and at the same rate. Example: If the x value increases then the y value increases • K is the constant of proportionality. (Slope) k=y/x • When you graph a direct variation equation is always goes through point (__0_,_0__), the origin.
Identifying k Give the value shown for k • Y = 4x • Y=1/2x • Y=.75x • Y=x 4 1/2 .75 1