The x-intercept of a line is the point at which the line crosses the x-axis.
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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.
X-intercept=3 y-intercept=-2
A line with a y-intercept but no x-intercept will be a straight line parallel to the x axis. It will have a slope of zero.
Slope is zero y-intercept is -7 there is no x-intercept for this equation
2y + x = 12At the x-intercept, y=0:x = 12At the y-intercept, x=0:2y = 12y = 6