Question

Enter the equation that describes the line in slope-intercept form. The points (7, 9) and (2, −9) are on the line y = .

Answer 1

Given:

A line passes through two points (7, 9) and (2, −9).

To find:

The slope intercept form of the line.

Solution:

A line passes through two points (7, 9) and (2, −9), so the equation of line is

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

`y-9=(-9-9)/(2-7)(x-7)`

`y-9=(-18)/(-5)(x-7)`

`y-9=(18)/(5)(x-7)`

Using distributive property, we get

`y-9=(18)/(5)(x)-(126)/(5)`

`y=(18)/(5)(x)-(126)/(5)+9`

`y=(18)/(5)x+(-126+45)/(5)`

`y=(18)/(5)x-(81)/(5)`

Therefore, the slope intercept form of the line is
`y=(18)/(5)x-(81)/(5)`.