Slope is rise/run, or vertical height/horizontal distance.
If a hill rises 100 feet high over a horizonatl distance of 1000 feet, it has a slope of 100/1000 = 0.10. Thais one -tenth slope, or one-tenth gradient, which is a 10% grade.
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The relation is that gradient and slope are both angled lines.
The slope of a line is its gradient
Slope or gradient = (y2-y1)/(x2-x1)
The gradient of the straight line
gradient