Question

Question #3efc2

Answer 1

Gradient is the slope of a graph at point of interest.
For straight line graph it remains same. For curves, it changes as per location of the point of interest.

Explanation:

For a straight line graph, select any two points `(x_1,y_1)` and `(x_2,y_2)` on the line.
Calculate, `"Gradient"=(y_2-y_1)/(x_2-x_1)`
Recall that for an equation of line in the form `y=mx+c`,
`m` is the gradient or the slope of the line.

Gradient or slope could be positive or negative as shown in the straight line graphs above. Observe the value of `m`.

For curved graphs, one has to draw a tangent at the point of interest. Gradient of the tangent is the gradient of the graph at that point.

This is done by first drawing a line at 90 degrees to the curve at the point where one is required to calculate the gradient of curved graph, a normal or ⊥ line. Then drawing the tangent at 90 degrees to this normal.