Question

How is the two point formula used to find the equation of a line when 2 points are known?

a.
taking the change in y over the change in x
c.
dividing the first y by the first x
b.
taking the change in x over the change in y
d.
dividing the first x by the first y

Answer 1

To find the slope of a line, you would find the change in y over the change in x, where the rise of a slope is defined by the y coordinate and the run of the slope is defined by x.

:)

Answer 2

A. Taking the change in y over the change in x.

Explanation:

We know that,

The two-point form of a line is given by,

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

For this form, the ordered pair are already given.

So, we have to calculate,
`(y_2-y_1)/(x_2-x_1)`.

That is, we need to find,

The ratio of change in y-values and x-values.

Thus, the two-point form is used to find the equation of a line by 'Taking the change in y-values over the change in x'.

Hence, option A is correct.