Identify
Rearrange and Solve
Graph
Direct Variations
Word Problems
100
What number represents the y-intercept? y= -3x-2
What is -2
100
What is the slope when you are given these points? k(5,1) and L(2, -7)
What is (-7)-1 _____ = -8 2-5 ------ -3
100
Graph these coordinates. (2, 10) (4, 20) (6, 30)
Show me the graphs
100
Determine the linear function is a direct variation. Prices X: 5 10 15 20 Tax Y: 0.41 0.82 1.23 1.64
Direct Variation 0.082 per 1
100
Ms. Murphy bought coffee and tea for her party. She bought x cups of coffee for $3 a cup and y cups of tea for $2 a cup. All together she spent $50. How can this equation be represented?
3x+2y=50
200
What is the slope of this equation? y=-3x-2
What is -3
200
Find the slope using these coordinate points? (1,2) and (3, 4)
What is y2-y1 4-2 ____ =1 _____ x2- x1 3-1
200
Graph these coordinates. Is this linear? (8,68) (9,71) (10, 74)
-- see graph
200
Determine the linear function is a direct variation. Hours x: 11 12 13 14 Distance y: 154 167 180 193
No Direct Variation
200
Ms. Murphy bought coffee and tea for her party. She bought x cups of coffee for $3 a cup and y cups of tea for $2 a cup. All together she spent $50. 3x+2y=50. Find the x intercept
3x+2(0)=50 3x=50 x=16.67
300
What is the slope of this equation? y=9
The slope is 0
300
Find the x-intercept of this equation. 2x-3y=6
2x-3y=6 -3(0)=6 2x=6 x=3
300
Graph and find the constant rate of change. (3,170) (6,140) (9,110)
see the graph
300
What does having a direct variation mean?
Ratio
300
Ms. Murphy bought coffee and tea for her party. She bought x cups of coffee for $3 a cup and y cups of tea for $2 a cup. All together she spent $50. 3x+2y=50. Find the y intercept
3x+2y=50 3(0)+2y=50 y=25
400
What is the slope of the equation? y+5x=7
The slope is -5 because y+5x=7 -5x -5x y=-5x+7
400
What are BOTH the x and y intercepts for this equation? 8x+5y=600
y=120 x=75
400
Graph these coordinates. (5,1) and (2, -7). What is the slope?
see graphs
400
If a group of data on a table is linear, does it mean it also has a direct variation?
nope
400
Mr. C wanted to buy Ms. Murphy some presents. He was trying decide between necklaces or bracelets. He bought x amount of necklaces for $300.00 and y number of bracelets for $150.00. After he left the store he realized he spent $1,500.00. How would you represent this equation?
300x+150y=1500
500
What is the y- intercept in this equation? y+5x=7
What is 7 y+5x=7 -5x -5x y=-5x+7
500
What is the y intercept of this equation. 2x-3y=6?
2x-3y=6 2(0) -3y=6 -3y=6 y=(-2)
500
Which variables go horizontally and which go vertically?
Horizontally: x Vertically: y
500
Create a table that is both linear and has a direct variation.
tbd
500
Mr. C wanted to buy Ms. Murphy some presents. He was trying decide between necklaces or bracelets. He bought x amount of necklaces for $300.00 and y number of bracelets for $150.00. After he left the store he realized he spent $1500.00. Find the x-intercept and y intercept. Graph and interpret the data.
300x+150y=1500 150y=1500 y=10 300x+150y=1500 300x=1500 x=5
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