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An intercept is any point on a line that crosses either the x or y axis on a coordinant grid. X-intercepts lie on the x-axis and are the solutions (what x is) to the quadratic equation of a parabola (ax2 + bx + c = 0). Y-intercepts lie on the y-axis and are mostly used as the "b" in the slope-intercept form of a line (y = mx + b).

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Q: What is a intercept in math?
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