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Presentation transcript:

$100 $300 $100 $400 $100 $300 $200 $100 $100 $200 $500 $200 $500 $200 $300 $200 $500 $300 $500 $300 $400 $400 $400 $500 $400

Basics of Graphing

Slope

Direct Variation

Slope Intercept Form

Functions

Slope Intercept Form Direct Variation Slope Basics of Graphing Functions $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500

In what quadrant does the point (-2,3) lie? CATEGORY 1 - $100 In what quadrant does the point (-2,3) lie? Ans. II

CATEGORY 1 - $200 What is the trend? negative

III In what quadrants are both x and y coordinates negative? CATEGORY 1 - $300 In what quadrants are both x and y coordinates negative? III

Complete the Table for y = 3x -2 x y CATEGORY 1 - $400 012 -2 1 4

Is the point (-3,5) a solution to CATEGORY 1 - $500 Is the point (-3,5) a solution to 2y = -x -1 NO

Why do we use the letter m CATEGORY 2 - $100 Why do we use the letter m for the word slope?

What is the slope? CATEGORY 2 - $200 m = 2

Find the slope: A (0,3) B (2,6) CATEGORY 2 - $300 m= 3/2

CATEGORY 2 - $400 Find the slope: A(-2, -5) B( -3,-8) m = 3

CATEGORY 2 - $500 Find the slope: undef.

CATEGORY 3 - $100 What is k? y = ½ x + 3 k = ½

CATEGORY 3 - $200 Find k: x -2 -3 -4 y 6 9 12 k = -3

CATEGORY 3 - $300 If k = -1/2 and x is 5, find y y = - 2.5

y = -3x x and y vary directly. x is 4 and y is -12 write an equation. CATEGORY 3 - $400 x and y vary directly. x is 4 and y is -12 write an equation. y = -3x

x and y vary directly. If x = -3 and y = 5 write and equation. CATEGORY 3 - $500 x and y vary directly. If x = -3 and y = 5 write and equation. y = - 5/3 x

What is slope intercept form? CATEGORY 4 - $100 What is slope intercept form? y = mx + b

What is the slope and y intercept in y = -2x - 4 CATEGORY 4 - $200 What is the slope and y intercept in y = -2x - 4 m = -2 y int. = -4

Write the equation in slope intercept form. CATEGORY 4 - $300 Write the equation in slope intercept form. m = 1/3 y int. = 5 y = 1/3 x + 5

Write in slope intercept form. 4x + 3y = 9 CATEGORY 4 - $400 y = -4/3 x + 3

Write an equation CATEGORY 4 - $500 y = -x -2

CATEGORY 5 - $100 What is f(2)? f(x) = 1/2x + 6 f(2) = 7

Write in function form: CATEGORY 5 - $200 Write in function form: 8 = 3x f(x ) = 3x - 8

CATEGORY 5 - $300 Find the slope: f(2) = 8 f(3) = 11 m = 3

Is the graph a function or relation? CATEGORY 5 - $400 function

Write the equation of the function: CATEGORY 5 - $500 Write the equation of the function: f(0) = -4 f( 4) = 8 f(x) = 3x - 4

linear equations

Write a line that is parallel to the function f(x) = 1/2x -5 FINAL CATEGORY any line with a slope of ½