Question

(-6,5) and (4,-1) equation

Answer 1

`y=-(3)/(5)x+(7)/(5)`

Explanation:

The correct question is

Write an equation for the line passing through (-6,5) and (4,-1)

step 1

Find the slope

we know that

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

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

we have

(-6,5) and (4,-1)

substitute

`m=(-1-5)/(4+6)`

`m=(-6)/(10)`

`m=-(3)/(5)`

step 2

Find the equation of the line in point slope form

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

we have

`m=-(3)/(5)`

`point\ (-6,5)`

substitute

`y-5=-(3)/(5)(x+6)`

step 3

Convert to slope intercept form

`y=mx+b`

Isolate the variable y

`y-5=-(3)/(5)x-(18)/(5)`

`y=-(3)/(5)x-(18)/(5)+5`

`y=-(3)/(5)x+(7)/(5)`