Intercept

Another important property of a line (or any curve on a coordinate plane) are its x- and y-intercepts: the points where the line intersects coordinate axes. Watch this lecture series and complete the interactive exercises.

Intercepts from a graph - Questions

Answers

1.

The y-intercept is the point where the graph intersects the y-axis. Since the y-axis is also the line x = 0, the x-value of this point will always be 0.

The x-intercept is the point where the graph intersects the x-axis. Since the x-axis is also the line y = 0, the y-value of this point will always be 0.

By looking at the graph, we can see that:

  • The y-intercept is  (0, 275) .
  • The x-intercept is  (125, 0) .


2.

The y-intercept is the point where the graph intersects the y-axis. Since the y-axis is also the line x = 0, the x-value of this point will always be 0.

The x-intercept is the point where the graph intersects the x-axis. Since the x-axis is also the line y = 0, the y-value of this point will always be 0.

By looking at the graph, we can see that:

  • The y-intercept is  (0, 0.4) .
  • The x-intercept is  (0.3, 0) .


3.

The y-intercept is the point where the graph intersects the y-axis. Since the y-axis is also the line x = 0, the x-value of this point will always be 0.

The x-intercept is the point where the graph intersects the x-axis. Since the x-axis is also the line y = 0, the y-value of this point will always be 0.

By looking at the graph, we can see that:

  • The y-intercept is  (0, -45) .
  • The x-intercept is  (-10, 0) .


4.

The y-intercept is the point where the graph intersects the y-axis. Since the y-axis is also the line x = 0, the x-value of this point will always be 0.

The x-intercept is the point where the graph intersects the x-axis. Since the x-axis is also the line y = 0, the y-value of this point will always be 0.

By looking at the graph, we can see that:

  • The x-intercept is  (-7.5, 0) .
  • The y-intercept is  (0, 5.5) .