The y -intercept that a graph is the allude where the graph crosses the y -axis. (Because a role must pass the vertical line test , a duty can have at most one y -intercept . )

The y -intercept is often referred come with simply the y -value. For example, we say that the y -intercept of the line shown in the graph below is 3.5 .


as soon as the equation the a line is written in slope-intercept type ( y = m x + b ), the y -intercept b can be read immediately from the equation.

example 1:

The graph the y = 3 4 x − 2 has its y -intercept in ~ − 2 .


Similarly, for a quadratic equation created in standard kind y = a x 2 + b x + c , the y -intercept is c .

instance 2:

The graph that y = − x 2 − x + 3 has actually its y -intercept in ~ 3 .


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