1. Identify the equation:
You can find the x-intercept of an equation in various forms, including slope-intercept (y = mx + b), point-slope (y - y1 = m(x - x1)), or even a higher-order polynomial equation.
2. Set y to zero:
Since the x-intercept lies on the x-axis, its y-coordinate is 0. Substitute 0 for y in the given equation.
3. Solve for x:
After setting y to zero, solve the equation for x. This will give you the x-value of the x-intercept.
4. Express the answer:
The x-intercept can be written in two ways:
* As an ordered pair: (x-intercept, 0)
* As an equation: x = x-intercept value
For example:
Equation: y = 2x + 3
Set y to zero: 0 = 2x + 3
Solve for x: -3 = 2x, x = -1.5
X-intercept: (-1.5, 0) or x = -1.5
Remember, this method applies to various equation forms. If you encounter difficulties, feel free to provide the specific equation you're working with, and I can guide you through the process.