x intercept
In mathematics, the x-intercept is a term used in coordinate geometry to define the point(s) on a graph where a function or equation crosses the x-axis
In mathematics, the x-intercept is a term used in coordinate geometry to define the point(s) on a graph where a function or equation crosses the x-axis. In other words, it represents the value(s) of x for which the y-coordinate is zero.
To find the x-intercept of a function or equation, you need to set y equal to zero and solve for x. This is because on the x-axis, the y-coordinate is always zero. Therefore, when a function intersects the x-axis, its y-value is zero.
For example, given the equation of a line: y = mx + b, where m represents the slope of the line and b represents the y-intercept (the point where the line crosses the y-axis), to find the x-intercept, you set y equal to zero:
0 = mx + b
Solving this equation for x, you can isolate x and find the x-intercept:
mx = -b
x = -b/m
The value of x obtained by solving for x represents the x-intercept(s) of the line represented by the equation.
In graphical representation, the x-intercept(s) can be identified as the point(s) where the graph intersects the x-axis.
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