Question

Does anybody know the right answer?

Answer 1

Given:

A line passes through the points (9,9) and
`(x_2,-1)`.

The slope of the line is
`(5)/(6)`.

To find:

The value of
`x_2]`.

Solution:

Slope formula:

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

The line passes through the points (9,9) and
`(x_2,-1)`. So, the slope of the line is:

`m=(-1-9)/(x_2-9)`

`m=(-10)/(x_2-9)`

It is given that the slope of the line is
`(5)/(6)`.

`(5)/(6)=(-10)/(x_2-9)`

`5(x_2-9)=-10(6)`

`5x_2-45=-60`

`5x_2=-60+45`

`5x_2=-15`

Divide both sides by 5.

`x_2=-(15)/(5)`

`x_2=-3`

Therefore, the value of
`x_2` is
`-3`.