Plotting Points
Horizontal and Vertical Lines
State the Relationship
Gradient
Direct Proportion Equations
100
State the coordinates of points C, V, and L
C (1,8)
V (4,9)
L (9,7)
100
Which of the following equations are for vertical lines?
x=3 y=2 y=x y=7 x=1 y=3 y=0 x=5
x=3 x=1 x=5
100
State the relationship between x and y for the line given by the following points:
(-1,1) (0,2) (1,3) (2,4) (3,5)
y is 2 greater than x
(y = x+2)
100
State whether the line below has a positive gradient or a negative gradient:
negative (slanting downwards)
100
6 apples cost £1.20; how much does one apple cost?
£0.20
(or 20p)
200
State the letters corresponding to the following coordinates:
(3,3) (7,3) (8,0)
(3,3) - Z
(7,3) - X
(8,0) - I
200
Which of the following equations are for horizontal lines?
x=3 y=2 y=x y=7 x=1 y=3 y=0 x=5
y=2 y=7 y=3 y=0
200
Describe the relationship between x and y for the line containing the following points:
(0,0) (1,3) (2,6) (3,9) (4,12)
y is 3 times x
(y = 3x)
200
Which of the lines below have a positive gradient?
A, C, F
200
Three movie tickets cost £27.30; how much would five tickets cost?
£45.50
one ticket = £27.30 / 3 = £9.10
five tickets = £9.10 x 5 = £45.50
300
What are the coordinates of points A, B, and H?
A (-7,6)
B (-4,-4)
H (5,-5)
300
State the equations of the horizontal lines on this graph:
D - y=4
E - y=2
300
State the relationship between the x and y coordinates in the following points as an equation in "y =" form:
(-1,-3) (0,-2) (1,-1) (2,0) (3,1) (4,2)
y = x - 2
300
Calculate the gradient of the line shown below:
gradient = 1
rise = 5, step = 5
5/5 = 1
300
A slice of pizza costs £1.10; write an equation for calculating the cost of any number of slices.
Hint: use C for cost and n for number of slices
C = 1.10n
400
State the letters corresponding to the following coordinates:
(-9,0) (6,-3) (-5,-2)
(-9,0) - D
(6,-3) - S
(-5,-2) - K
400
State the equations of the vertical lines on this graph:
A - x=1
B - x=2
C - x=4
400
State the equation (y=) for the relationship between x and y coordinates on the line with the following points:
(-1,1) (0,0) (1,-1) (2,-2) (3,-3) (4,-4)
y = -x
400
What is the gradient of the line shown below?
gradient = 0
(rise = 0)
400
Corey buys 2 notebooks at the store for £4.00; write an equation for the cost of any number of notebooks and use it to calculate the cost of 5 notebooks.
(Use C for cost and n for number of notebooks)
£10.00
one notebook = £4.00 / 2 = £2.00
C = 2.00n
C = 2.00(5) = £10.00
500
Which quadrant has points with negative x-coordinates and positive y-coordinates?
Quadrant 2
500
What is the equation of the line containing the following points?
(-6,-1) (-6,1) (-6,3) (-6,5) (-6,7)
x=-6
500
State the relationship between x and y coordinates for the line with the following points:
(2,6) (3,5) (4,4) (5,3) (6,2) (7,1)
x and y add to 8
x+y=8
500
Calculate the gradient of the line shown below:
gradient = -3
rise = -6, step = 2
-6/2 = -3
500
Four chocolate bars cost 88p.
Write an equation for the cost of any number of chocolate bars, and use your equation to determine the cost of 20 chocolate bars.
(Use C for cost and n for number of bars)
C = 0.22n
20 bars cost £4.40
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one bar = 88p / 4 = 22p or £0.22
C = 0.22n
C = 0.22(20) = £4.40