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.