Question

What equation is (2,-1) and (-4,5)

Answer 1

`y=-x+1`

Explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

`m=(y2-y1)/(x2-x1)`

we have

(2,-1) and (-4,5)

substitute the values

`m=(5+1)/(-4-2)`

`m=(6)/(-6)`

`m=-1`

step 2

Find the equation of the line in point slope form

`y-y1=m(x-x1)`

we have

`m=-1`

`point\ (2,-1)`

substitute

`y+1=-(1)(x-2)`

`y+1=-(x-2)`

step 3

Convert to slope intercept form

`y=mx+b`

isolate the variable y

`y+1=-x+2`

`y=-x+2-1`

`y=-x+1`