The intercept point | Maths | Quizalize & Oak National Academy

Starter quiz

Which of these sequences are linear?
- $3n + 1$ ✓
- $7 - 5n$ ✓
- $n^2$
- $5n^3 - 15$
- $2n - 5$ ✓
Which of these best describes an intercept point?
- A point on the line where the $x$ and $y$ coordinates are the same
- A point on the line which you use to find the gradient.
- A point on the line where both values are positive.
- A point on the line where it meets an axis. ✓
The tables shown have been labeled A,B,C,D,E. Match the table with the correct gradient.
- A
  
  ⇔
  
  2 ✓
- B
  
  ⇔
  
  -2 ✓
- C
  
  ⇔
  
  -4 ✓
- D
  
  ⇔
  
  5 ✓
- E
  
  ⇔
  
  4 ✓
In a linear sequence the common difference is 3 and the tenth term is 32. What is the first term?
- '5' ✓
What is the gradient of the line which passes through the coordinates (4, 7) and (6,11) ?
- '2' ✓
What is the gradient of the line which passes through the coordinates (2, -6) and (0,-1) ?
- $-3$
- $-{5\over 2}$ ✓
- $-{2\over 5}$
- $2\over 5$
- $5\over 2$

What is the $y$ -intercept for the line formed when this table of values is plotted?
- (0,2)
- (2,0)
- (0,6) ✓
- (6,0)
- (-2,12)
Which of these coordinates could be a $y$ -intercept?
- (0,0) ✓
- (3,0)
- (0,-7) ✓
- (0.2,0)
- (0, $2\over5$ ) ✓
The graph shows 5 lines labelled A, B, C, D, E. Match the line to its corresponding $y$ intercept.
- A (purple)
  
  ⇔
  
  (0,0) ✓
- B (pink)
  
  ⇔
  
  (0,3) ✓
- C (green)
  
  ⇔
  
  (0,-1) ✓
- D (blue)
  
  ⇔
  
  (0,-3) ✓
- E (black)
  
  ⇔
  
  (0,4) ✓
What is the $y$ intercept for the line belonging to this table of values?
- (0,9)
- (0,1)
- (0,0)
- (0,-3)
- (0,-7) ✓
What is the $y$ intercept for the line belonging to this table of values?
- (0,26) ✓
- (0,24)
- (0,13)
- (0,8)
- (0,-14)
Match up the $y$ -intercepts with the corresponding lines.
- (0,-3)
  
  ⇔
  
  The line through (4,5) and (5,7) ✓
- (0,0)
  
  ⇔
  
  The line through (1,3) and (3,9) ✓
- (0,15)
  
  ⇔
  
  The line through (10,5) and (13,2) ✓
- (0,-15)
  
  ⇔
  
  The line through (4,-3) and (8,9) ✓

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The y-intercept can be found by considering the graph.
The y-intercept occurs when the x value is zero.
The gradient can be found from two points.
The y-intercept can be found using the gradient and one of the points.
It is useful to check using the second point while understanding the limitations of this check.

Writing the y intercept as a single value or getting the x and y coordinates the wrong way around.

Encourage writing the y intercept as a coordinate. Stating 'lines cross the y axis when x=0' can help pupils write the coordinate correctly.

Gradient - The gradient is a measure of how steep a line is.
Intercept - An intercept is the coordinate where a line or curve meets a given axis.
Linear - The relationship between two variables is linear if, when plotted on a pair of axes, a straight line is formed.