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# What Is the Definition of "y-Intercept"?

**The y-intercept is the point in a function where the value of the x-coordinate is zero.** By definition, a function has only one y-intercept. The x-intercept is the point in a function where the value of the y-coordinate is zero.

Using the slope intercept form of an equation, expressed as y = mx + b, the variable b is equal to the y-intercept, and the variable m is equal to the slope. When x is zero, the value of mx is also zero, resulting in y = b. When graphed, the y-intercept can be found at the point where the graph of the function crosses over the x-axis.

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Q:
## Why Does "b" Stand for "y-Intercept"?

A: The y-intercept is the value of y where an equation crosses the y-axis and x = 0. In the equation y = mx + b, if one substitutes 0 for x, the equation beco... Full Answer >Filed Under: -
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## What Is the Definition of "quadratic Function"?

A: A quadratic function is a function of the form f(x) = ax^2 + bx + c where a, b and c are constants. Part of the definition of a quadratic function is that ... Full Answer >Filed Under: -
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## How Do You Calculate the Slope of a Tangent Line?

A: To find the slope of the tangent line to the graph of a function at a point, find the derivative of the function, then plug in the x-value of the point. Co... Full Answer >Filed Under: -
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## What Is the Method for Graphing Quadratic Functions in Vertex Form?

A: When a quadratic function is presented in vertex form, it contains within it the coordinates of the vertex or turning point of the function. Using this as ... Full Answer >Filed Under: