Question

PLS 40 points

What is the equation in point slope form of the line that passes through the points (-1,4) and (3,-4)

Answer 1

2x+y=2

Explanation:

Let
`p1` be the point
`(-1,4)`

Let
`p2` be the point
`(3,-4)`

The equation of the line passing through two points
`p1=(x_(1),y_(1))`

and
`p2=(x_(2),y_(2))` is
`(y-y_(1))/(x-x_(1)) =(y_(2)-y_(1))/(x_(2)-x_(1))`

substituting
`p1,p2` in the above equation yields

`(y-4)/(x-(-1))=(-4-4)/(3-(-1))`

which when simplified gives
`(y-4)/(x+1)=(-8)/(4)`

which when further simplified gives
`2x+y=2`