Question

Write the equation of the line that passes through the points (7,-9) and (2,−7). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answer 1

Answer:
`-5y - 2x` =
`31`

Explanation:

The formula for calculating equation of line when two points are given is :

`(y-y_(1))/(x-x_(1))`=
`(y_(2)-y_(1))/(x_(2)-x_(1))`

`x_(1)=7`

`x_(2)` = 2

`y_(1)` = -9

`y_(2)` = -7

Substituting the values into the equation , we have

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

`(y+9)/(x-7)` =
`(2)/(-5)`

cross multiplying , we have

`-5(y+9)` =
`2(x-7)`

`-5y-45` =
`2x - 14`

`-5y - 2x` =
`-14 + 45`

`-5y - 2x` =
`31`