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In the context of linear equations, what does the term 'intercept' refer to?

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Question: In the context of linear equations, what does the term \'intercept\' refer to?

Options:

  1. The point where the line crosses the x-axis.
  2. The point where the line crosses the y-axis.
  3. The angle of inclination of the line.
  4. The distance from the origin to the line.

Correct Answer: The point where the line crosses the y-axis.

Solution:

The term \'intercept\' refers to the points where the line crosses the axes; specifically, the y-intercept is where it crosses the y-axis.

In the context of linear equations, what does the term 'intercept' refer to?

Practice Questions

Q1
In the context of linear equations, what does the term 'intercept' refer to?
  1. The point where the line crosses the x-axis.
  2. The point where the line crosses the y-axis.
  3. The angle of inclination of the line.
  4. The distance from the origin to the line.

Questions & Step-by-Step Solutions

In the context of linear equations, what does the term 'intercept' refer to?
  • Step 1: Understand that a linear equation represents a straight line on a graph.
  • Step 2: Know that a graph has two axes: the x-axis (horizontal) and the y-axis (vertical).
  • Step 3: The 'intercept' is where the line touches or crosses these axes.
  • Step 4: The y-intercept is the point where the line crosses the y-axis.
  • Step 5: The x-intercept is the point where the line crosses the x-axis.
  • Intercept – The points where a line crosses the axes, specifically the x-intercept and y-intercept.
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