y-intercept
In mathematics, the y-intercept is a point on the graph of a function where the function intersects the y-axis
In mathematics, the y-intercept is a point on the graph of a function where the function intersects the y-axis. It is the value of the dependent variable (y) when the independent variable (x) is equal to zero.
To find the y-intercept, you can follow these steps:
1. Identify the equation of the function. The equation may be given to you or you may need to solve for it.
2. Set the value of the independent variable (x) to zero in the equation. This is because the y-intercept occurs when x is zero.
3. Solve the equation to find the value of the dependent variable (y) when x is zero. This value will be the y-coordinate of the y-intercept.
For example, let’s find the y-intercept of the equation of a line, y = 2x + 3:
1. The equation of the line is already given as y = 2x + 3.
2. Set x = 0: y = 2(0) + 3.
3. Solve for y: y = 0 + 3, y = 3.
Therefore, the y-intercept of the line y = 2x + 3 is (0, 3), which means that the line intersects the y-axis at the point (0, 3).
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