Question

Which is the formula for slope of a line.

Answer 1

The correct answer option is
`m=(y_2-y_1)/(x_2-x_1)`.

Explanation:

To the find of the slope of a line, we need at least two points that are on the line:
`(x1,y_1)` and
`(y_1,y_2)`.

With the help of the coordinates of these two points, we can find the slope of the line by taking the ratio of the difference in values of y by the difference in values of x.

The slope of a line is denoted by
`m`:

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

Answer 2

If the line passes through the points
`A(x_1,y_1)` and
`B(x_2,y_2),` then the slope of the line can be determined as

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

Then the equation of the line is

`y=(y_2-y_1)/(x_2-x_1)(x-x_1)+y_1.`

Answer: correct choice is B