Another name for the x- intercept of a graph is the __ intercept?
The Correct Answer and Explanation is:
The correct answer is: horizontal intercept.
Explanation:
In mathematics, particularly in coordinate geometry, a graph is a visual representation of the relationship between variables. The x-intercept is the point or points where a graph crosses or touches the x-axis. Since the x-axis is horizontal, another name for the x-intercept is the horizontal intercept.
At the x-intercept, the value of y is always zero, because this point lies along the x-axis. This is a defining property of all x-intercepts. For example, if a linear equation is given as y=2x−4y = 2x – 4y=2x−4, you can find the x-intercept by setting y=0y = 0y=0 and solving for xxx: 0=2x−4⇒2x=4⇒x=20 = 2x – 4 \Rightarrow 2x = 4 \Rightarrow x = 20=2x−4⇒2x=4⇒x=2
So, the x-intercept or horizontal intercept is at the point (2, 0).
On the other hand, the y-intercept is where the graph crosses the y-axis. It is often called the vertical intercept because the y-axis is vertical. At the y-intercept, the value of x is zero.
Understanding the concept of intercepts is important in graphing functions, solving equations, and interpreting data in both algebra and real-life applications. Intercepts provide key information about the behavior and position of a graph on the coordinate plane. They are especially useful in analyzing linear equations, quadratic functions, exponential functions, and other types of graphs.
In summary, the x-intercept is also known as the horizontal intercept, and it represents where a graph touches or crosses the x-axis, with a y-value of zero.
