The Cartesian Plane
Using Tables and Rules
X and Y intercepts
Gradient
Random Trivia!
100
What are the coordinates of point A on the following cartesian plane?
(3,2)
100
Complete the missing y-values using the rule
y = 2x + 1.
2 x 1 + 1 = 3
100
What are the coordinates of the x-intercept?
X-intercept (4,0)
100
From A to B, the line rises 3 units and moves 1 unit right. What is its gradient?
3
Gradient = rise ÷ run = 3 ÷ 1.
100
Which planet is known as the red planet?
Mars
200
Give the coordinates of point B, C and D. All must be correct for the points!
B = (−4, 3)
C = (−2, −4)
D = (4, −3).
200
Complete the table using y =3x − 2 
3 x -2 - 2 = -8
3 x 0 - 2 = -2
200
Use the table to find both intercepts. Remember: the x-intercept has y = 0, and the y-intercept has x = 0.
x-intercept = (2,0)
y-intercept = (0,4)
200
What is the gradient of the line y = 4x − 3?
4
The gradient is the coefficient of x (the number next to x).
200
What is the largest ocean on earth?
The Pacific Ocean
300
Which axis would the the point (0,4) be touching?
The y axis.
300
The table follows a linear rule. What is the y-intercept?
(0,5) OR 5
Because to find the y intercept, x=0.
300
Find the y-intercept of y = 2x − 6.
(0,-6)
300
Find the gradient from the table. How much does y increase each time x increases by 1?
2
Because the y numbers increase by 2
300
Which Australian animal produces cube shaped poo?
A wombat
400
A, B and C are three consecutive corners of a rectangle. What are the coordinates of the missing corner D? You do not need to draw it.
(-4,3)
400
Find the rule connecting x and y. Write it in the form
y = mx + c.
y = 2x + 3
Because, the y increases by 2.
And, where x =0, y is 3.
400
Find both intercepts of y = x − 3. Hint: set x = 0 for one intercept and y = 0 for the other.
x-intercept: (3, 0).
y-intercept: (0, −3).
400
Find the gradient of the following line by using rise/run
Rise = 2, run = 1
2/1 = 2
400
What gas do plants absorb from the air during photosynthesis?
Carbon Dioxide
500
The points P(0, 4), Q(4, 0), R(0, −4) and S(−4, 0), P(0,4) have been plotted and then joined together. What shape is created from the points?
Diamond or rotated square
500
Find the linear rule for this table. HINT: the x values are not increasing by 1.
y = -2x + 5
500
Find both intercepts of y = 2x − 6.
x-intercept: (3, 0).
y-intercept: (0, −6).
500
Find the gradient from the following graph.
rise = -6, run = 6
-6/6 = -1 This line has a negative gradient
500
How many bones does a typical human body have?
206