x-intercept
The x-intercept of a graph represents the point(s) where the graph intersects the x-axis
The x-intercept of a graph represents the point(s) where the graph intersects the x-axis. In other words, it is the value(s) of x for which the y-coordinate is zero. To find the x-intercept, you need to set the y-coordinate equal to zero and solve for x.
For example, let’s consider the equation of a linear function: y = 2x – 4. To find the x-intercept, we set y equal to zero:
0 = 2x – 4
To solve for x, we can add 4 to both sides of the equation:
4 = 2x
Finally, dividing both sides by 2 gives us:
x = 2
So the x-intercept of this line is x = 2, which means it intersects the x-axis at the point (2, 0).
In general, a linear equation of the form y = mx + b, where m and b are constants, will have an x-intercept of (a, 0), where a is the value of x obtained by setting y equal to zero and solving for x.
The x-intercept is an important concept in graphing and analyzing functions. It provides information about the points where the graph crosses the x-axis and can help determine important features such as the slope, symmetry, and behavior of the function.
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