As a subject matter expert in mathematics, I can guide you through the process of finding the Y-intercept of a graph. The Y-intercept is the point where a line crosses the Y-axis in the Cartesian coordinate system. To find it, you need to follow these steps:


1. Identify the Equation: You need to have the equation of the line in either slope-intercept form, which is `y = mx + b`, or standard form, which is `Ax + By = C`.


2. Slope-Intercept Form: If the equation is already in slope-intercept form, the Y-intercept is the value of `b`. This is because in `y = mx + b`, `b` represents the point where the line crosses the Y-axis.


3. Standard Form: If the equation is in standard form, you need to solve for `y` to find the Y-intercept. You can do this by isolating `y` on one side of the equation: `y = -(Ax + C) / B`. If `x` is set to zero, then `y` will equal the Y-intercept.


4. Graphing: Alternatively, if you are graphing the line by hand, you can find the Y-intercept by setting `x` to zero and solving for `y`.


5. Key Point: Remember that the Y-intercept is the value of `y` when `x` is zero.

Now, let's put this into practice with an example:

Suppose we have the equation `y = 2x + 5`. Here, the Y-intercept is `5` because it's the value of `b` in the slope-intercept form.

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You can find the y-intercept by looking at the graph and seeing which point crosses the y axis. This point will always have an x coordinate of zero. This is another way to find the y-intercept, if you know the equation, the y-intercept is the solution to the equation when x = 0.read more >>