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Basic Algebra

Basic Algebra

At a Glance - Intercepts

The x and y-intercepts of a line is the point where the line intercepts, or crosses, either the x-axis or the y-axis

  • X-Intercept: when the line crosses the x-axis, the y value is 0
  • Y-Intercept: When the line crosses the y-axis, the x value is 0

Intercepts can be written in (x, y) form or as "the x-intercept is 2". It can't be written as x = 2 (this is an equation of a vertical line going through the point (2, 0).

Example 1

Find the x and y intercepts of this line.

slope 1


Example 2

Find the x and y intercepts of this line.

intercepts 2


Example 3

Find the x and y intercepts of this line.

intercepts 3


Example 4

Find the x and y intercepts of this line.

intercepts 4


Exercise 1

Tell whether each line has a positive, negative, zero, or undefined slope.

pos, neg, 0


Exercise 2

Find the slope and x and y intercepts of this line:

intercept


Exercise 3

Find the slope and x and y intercepts of this line:

intercepts 3


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