Question

What is an equation of the line that passes through the points (4,−4) and (−6,−4)?

Answer 1

Answer: the equation of the line is
`y= -4`

Explanation:

Alright, lets get started.

The given two points are :

`(x_(1) , y_(1))=(4,-4)`

`(x_(2) , y_(2))=(-6,-4)`

The equation of line passing from two points is:

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

Plugging the values of points

`y+4=(-4+4)/(-6-4)*(x-4)`

`y+4=0* (x-4)`

`y+4=0`

Subtracting 4 from both sides.

`y= -4`

Hence , the equation of the line is
`y= -4`.........Answer