How to Solve for the Y-Intercept in a Linear Equation | Step-by-Step Guide with Example

How do you solve for a y intercept?

To solve for the y-intercept of a linear equation, you need to find the value of y when x is equal to 0

To solve for the y-intercept of a linear equation, you need to find the value of y when x is equal to 0. The y-intercept represents the point where the graph of the equation intersects the y-axis.

Here are the steps to solve for the y-intercept:

1. Start with the linear equation, usually written in the form y = mx + b, where m is the slope of the line and b is the y-intercept.
2. Substitute 0 for x in the equation.
3. Solve the equation for y.

Let’s take an example to illustrate the process:

Example: Find the y-intercept of the equation y = 2x + 3.

Step 1: Start with the equation y = 2x + 3.
Step 2: Substitute x = 0 into the equation: y = 2(0) + 3.
Step 3: Simplify and solve: y = 0 + 3, which simplifies to y = 3.

So, in this example, the y-intercept is 3. This means that the graph of the equation y = 2x + 3 intersects the y-axis at the point (0, 3).

It’s important to note that not all equations will have a y-intercept. For example, vertical lines (where the x-value is constant) do not intersect the y-axis, so they do not have a y-intercept.

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