The x-intercept of a graph or equation represents the point where the graph crosses the x-axis. This point has a y-coordinate of zero. Here's how to find the x-intercept:

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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.

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.