Question

Find the gradient of the line segment between the points (2,4) and (4,6)

Answer 1

Step-by-step explanation:

that is also called the slope or inclination or change rate.

that is the ratio of y change / x change.

when going from point 1 to point 2 (the sequence is not important, but once you picked one you need to use it for x and y), we see

x changes by +2 (from 2 to 4).

y changes by +2 (from 4 to 6).

so it is +2/+2 = 2/2 = 1/1 = 1

Answer 2

Answer: The gradient is
`\boxed{\sf 1}`

Step-by-step explanation:

`\sf gradient: (y_2 - y_1)/(x_2- x_1) \ \quad where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points`

Here given points: (2, 4), (4, 6)

`\rightarrow \sf gradient: (6-4)/(4-2) = (2)/(2) = 1`