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Slope
Translating A story
Intercepts
Rearranging the equation
Finding Solutions
100
What is the slope of a line with the equation: y=3x - 6
Slope = 3
100
Peter has 600 toy cars. Each week he donates 6 toy cars to charity. What equation would show how many toy cars Peter has after any number of weeks?
Y = 600 - 6W
100
What is the Y-intercept for a line with the equation: Y = 3/5x - 4
Answer: - 4
100
Put the equation into Y=mx + b form. Then identify the slope and y-intercept Y -8= 2x.
Y= 2x + 8 Slope = 2 Y-intercept = 8
100
A line has an equation y=2x +4. You are told 3 points (2, 5); (4,11) and (6,16). Which of these points is a solution to the equation?
(6,16)
200
What is the slope of a line drawn between (4,0) and (7,1)?
Slope = -1/3
200
Adult movie tickets, X cost 20 rmb and kids tickets, Y, cost 10 rmb. Susan has 300 rmb. Write an equation that could be solved to show all of the possible combinations of adult and children's tickets.
20 x + 10Y = 300
200
What is the X-intercept for a line with the equation: Y = 2x + 6
X -intercept = -3
200
Put the equation into Y=mx +b form (Slope-Intercept) then identify the slope and y-intercept. 3x + 4y =12
y= -3/4x + 3 Slope = -3/4 Y-intercept = 3
200
Find 2 solutions to the equation: Y = -4x -3
Answers will vary. Let's check what you have.
300
What is the slope between ( 7,9) and (7,0)?
Undefined
300
Alice always has 4 pimples. Every day she gets 3 more pimples. Write an equation that shows how many pimples Alice will have after any number of days.
Y = 4 + 3X
300
Find the X and Y intercepts for a line with the equation Y=1/2 X + 3
x-intercept = -6 y intercept = 3
300
Put the equation into y=mx+b form (Slope-Intercept form) y+3=0
y = -3 Slope: 0 Y-intercept = -3
300
Subway sandwiches, X, cost 12 rmb. Soup,Y, costs 6 rmb. If you have 72 rmb, what equation could show how all the possible combinations of soups and sandwiches you could buy? Give 2 possible solutions that would satisfy the equation.
12X + 6Y =72 Possible solutions: 0 sandwiches, 12 soups; 6 sandwiches, 0 soups.
400
What is the slope of the y = 9?
Zero, 0
400
Zebras, X, eat 8 kg of food each day. Tigers, Y, eat 12 kg of food each day. Every day my zoo has to buy 240 kg of food. Assuming there are ONLY zebras and tigers in the zoo, write an equation that shows how many tigers and how many zebras there could be in the zoo.
8x + 12Y = 240
400
What are the X and Y intercepts for a line with the equation: 3X -5Y= 15
Y-intercept = -3 X-intercept = 5
400
Put the equation into y=mx+b (Slope Intercept Form)Then indentify the slope and y-intercept -4x - 6y = 36
Equation: y= -2/3x -6 Slope = -2/3 Y-intercept = -6
400
Find the slope between the following 2 points. Write your answer as a regular fraction. (1/2, 3) and (4, 1)
Slope = -4/7
500
What is the slope of a line that would be parallel and perpendicular to a line with the equation y = 1/2x + 4
Parallel = 1/2 Perpendicular = -2
500
John has 500 rmb in the bank. Every week he saves 27rmb. Peter has 300 rmb in the bank. Every week he saves 45 rmb. [a] Write an equation that shows how much both boys have after any number of weeks. [b] How many weeks before Peter has more than John?
John Y = 500 + 27x Peter Y =300 + 45X After 12 weeks Peter will have more than John
500
What are the X and Y intercepts for a line with the equation: 2/3 X - 1/4Y = 2
Y-intercept = 8 X intercept = 3
500
Put the equation into y = mx+b form and identify the slope and y-intercept. 4x -3y -12 = 0
Equation: y =4/3x - 4 Slope = 4/3 Y-intercept = -4
500
A line has a slope of 2. One of the points on the line is (1, 4). Another point is (5, Y). What is the missing Y coordinate?
(5, 12) y=12