What is the difference between gradient and slope?

A gradient is a vector, and slope is a scalar. Gradients really become meaningful in multivarible functions, where the gradient is a vector of partial derivatives. With single variable functions, the gradient is a one dimensional vector with the slope as its single coordinate (so, not very different to the slope at all).

Gradient Slope

This Site Might Help You.

RE:

What is the difference between gradient and slope?

Figuratively speaking both gradient and slope mean the same qualified by such words as increasing and decreasing gradient or upward and downward slope etc. In maths 'slope' is referred generally as a tangent line touching a selected point on a curve and extended towards x-axis making an angle with it in the X-Y plane upon which the curve is drawn. Therefore slope here refers to a subtended angle made by an extended line with a fixed set of defined X-Y coordinates. Gradient is used more specifically negotiating the bends of a curve drawn on an x-y plane corresponding to successive values of x-y magnitudes calculated according to some mathematical formula such as Y= mX^2+ C describing a parabola.Here gradient refers to the slope of a small tangent drawn at a selected point on the curve with the general X-Y axes lifted up to the select point into small lines of intersection where the tangential angles cutting x-axis are measured in situ for successive points on a curve. Therefore if a curve traces a number of bends in a complex manner the upward or downward slopes of gradient also 'tracks' the contiguous points on a curve. The points where the gradient slope changes direction such as up to down or down to upwards are known as 'points of inflexion'.

well none they are pretty much the same thing:

Gradient:

"the degree of inclination, or the rate of ascent or descent..."

Slope:

"Slope is often used to describe the measurement of the steepness, incline, gradient, or grade of a straight line"

Notice that the definition of slope includes the word gradient, they're both basically how steep the line is.

A gradient is a vector, it has direction and units

A slope is only refering that it is on a angel, but not specified angle

They both are same generally we say slope but in mathematical terms we say gradient

It's a bit like the difference between speed and velocity. Both tell you how fast you're going, but only one tells you in which direction.

If you ever study vector calculus above grade school level, you will be introduced to the grad (del) operator (∇). This thing is an object of joy and beauty. Given a point in a scalar field, it will yield the vector that is the path of steepest ascent.

from my understanding, it is the same thing