## y intercept

### In mathematics, the term “y-intercept” refers to the point at which a straight line intersects the y-axis on a coordinate plane

In mathematics, the term “y-intercept” refers to the point at which a straight line intersects the y-axis on a coordinate plane. It is the value of the dependent variable (usually represented as “y”) when the independent variable (usually represented as “x”) is zero.

More formally, for a linear equation in the form y = mx + b, where m is the slope and b is the y-intercept, the y-intercept is the value of y when x is equal to zero.

To find the y-intercept of a linear equation, you can consider the equation in its slope-intercept form, y = mx + b, and set x=0. The resulting value of y will be the y-intercept.

For example, in the equation y = 2x + 3, the slope is 2 and the y-intercept is 3. This means that the line represented by this equation crosses the y-axis at the point (0, 3).

The y-intercept is an important concept in linear equations, as it helps determine the initial value or starting point for a given situation. It is often used to interpret and analyze the behavior of linear functions or to graph linear equations on a coordinate plane.

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