The intercept point
I can calculate the intercept point from a graph and from two coordinate pairs.
The intercept point
I can calculate the intercept point from a graph and from two coordinate pairs.
Lesson details
Key learning points
- 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.
Common misconception
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.
Keywords
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.
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Video
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Starter quiz
6 Questions
A -
2
B -
-2
C -
-4
D -
5
E -
4
Exit quiz
6 Questions
A (purple) -
(0,0)
B (pink) -
(0,3)
C (green) -
(0,-1)
D (blue) -
(0,-3)
E (black) -
(0,4)
(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)