Euclid defined a line as an interval between two points and claimed it could be extended indefinitely in either direction.
Examples of line in mathematics.
Such an extension in both directions is now thought of as a line while euclid s original definition is considered a line segment.
Solved example on intercept ques.
The xs or dots.
X intercept is 3 and y intercept is 0 b.
Find the x and y intercepts of the line ab shown below.
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If the tangents have to be parallel to the line then they must have the same gradient.
The standard equation for a straight line is y mx c where m is the gradient.
X intercept is 3 and y intercept is 3.
This means that the horizontal axis is usually a time scale for example minutes days months or years.
A line is a straight path that is endless in both directions.
A line graph is usually used to show the change of information over a period of time.
In the above figure no and pq extend endlessly in both directions.
In the figure the line cuts the x axis at 2 0 and y axis at 0 3.
Example of tangent line.
Definition of line segment explained with real life illustrated examples.
So and represent lines.
A line plot is a graphical display of data along a number line with xs or dots recorded above the responses to indicate the number of occurrences a response appears in the data set.
The representation for the line pq is.
A line graph is formed by joining the points given by the data with straight lines.
Is straight no bends has no thickness and extends in both directions without end infinitely.
So x intercept is 2 and y intercept is 3.
Definition of line explained with real life illustrated examples.
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For k 12 kids teachers and parents.
A line does not have any thickness.
One end makes it a ray and two ends makes it a line segment.
Line basic element of euclidean geometry.
In common language it is a long thin mark made by a pen pencil etc.
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