The intercept of a graph is the point where is crosses one of the coordinate axes. The x intercept is where it crosses the x axis, the y intercept where it crosses the y axis. If the graph is given as y equals a function of x, it is usually easier to find the y intercept, because that is where x is 0. You just plug in 0 for x and evaluate. To find the x intercept, you plug in 0 for y and then you have to solve an equation for x. This is fairly easy if it is a linear equation (the graph is a straight line), somewhat harder for a quadratic (a parabola). But anyway you only asked for a definition, and I have given it.
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The place on a graph were a line crosses the y axis
This question cannot be answered because there is no graph to tell where the y-intercept is.
Intercept for a graph are points at which the graph crosses either axis. There is no such thing as an intercept for tables.
y = -4x The y-intercept is zero. That is, the graph passes through the origin.
Where a line crosses the y an x axis on a graph.