Question

What is the gradient of a curve going through points (1,5) and (6,35)?

Answer 1

Answer:

6

Step-by-step explanation:

Gradient = (y2-y1)/(x2-x1)

= (35-5)/(6-1)

= 30/5

= 6

Answer 2

Answer:

5

Step-by-step explanation:

The gradient is simply the change in y divided by the change in x.

Change in y is the difference in y-coordinates, while the change in x is the difference in x-coordinates. Our two points here are (1, 5) and (6, 35).

The difference in y-coordinates is: 35 - 5 = 30. The difference in x-coordinates is: 6 - 1 = 5. Divide 30 by 5:

30 / 5 = 6

Thus, the gradient is 5.