Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
4. Graphing Linear Equations in Standard Form
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Exercise 1 Page 133

Where do you find x- and y-intercepts?

See solution.

Practice makes perfect

Let's first talk about each intercept a bit.

x-intercept

Recall the definition of an x-intercept.

x-intercept

The x-intercept of a graph is the x-coordinate of a point where the graph crosses the x-axis. It occurs when y=0.

It is always (x,0) for some value of x and tells us when the output of a function is 0.

y-intercept

Now let's recall the definition of a y-intercept.

y-intercept

The y-intercept of a graph is the y-coordinate of a point where the graph crosses the y-axis. It occurs when x=0.

It is always (0,y) for some value of y and tells us when the input of a function is 0.

Similarities and Differences

With that said we can identify the following similarities and differences:

  • Alike: They are both the points where an axis is crossed by the graph of a relation.
  • Different: They cross different axes. One tells input and the other tells output.