Question

What is the steepness of the line passing thru (1,2) and (3,8)

Answer 1

3

Explanation:

The steepness refers to the absolute value of the slope of the line.

Let
`(x_1,y-1)=(1,2)` and
`(x_2,y_2)=(3,8)`.

Then the slope is given by the formula;

`m=(y_2-y_1)/(x_2-x_1)`

We substitute the values to obtain;

`m=(8-2)/(3-1)`

`m=(6)/(2)`

`m=3`

The steepness is
`|3|=3`

Answer 2

The slope of the line passing thru (1,2) and (3,8) is 3.

Explanation:

The slope of a line measures its degree of steepness and is sometimes referred to as the gradient. The general formula for slope is; change in y/change in x. In this case; slope = (8-2)/(3-1) =3