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 \( (0, 5.5) \).