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ΔY/ΔX represents the average rate of change between two points on a curve or line. It measures how much y changes for every unit increase in x.
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Slope measures how steep or flat a line is by comparing vertical change (rise) with horizontal change (run). It's represented by m in y = mx + b.
A tangent line touches a curve at exactly one point and has the same slope as that point on the curve.
The instantaneous rate of change refers to the rate of change at a specific point on a curve. It's like finding out your speed at an exact moment while driving.