Question

What is the equation in point-slope form of a line that passes through the points (−4, −1) and (5, 7) ? y+1=87(x+4) y+4=98(x+1) y−1=89(x−4) y+1=89(x+4)

Answer 1

I think its 4+(-98=y)

Answer 2

ANSWER

The equation in point-slope form is

`y + 1 = (8)/(9) (x + 4).`


Step-by-step explanation

The equation of a line in point slope form is given by,



`y-y_1=m(x-x_1)`

where

`m`
is the slope and

`(x_1,y_1)`
is any given point on the line.


Let us now find the slope using the point,


`(-4,-1) \: and \: (5,7)`


We apply the slope formula,


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

This implies that,


`m = (7 - - 1)/(5 - - 4)`



`m = (7 + 1)/(5 + 4)`



`m = (8)/(9)`


The equation is now given by,


`y - - 1 = (8)/(9) (x - - 4)`

Or


`y + 1 = (8)/(9) (x + 4)`


The correct answer is D