Question

I need this answer rn

Which is an equation in point-slope form for the line that passes through the points (−1,4) and (3,−4)?

Responses

y−4=2(x+3)


y+4=2(x−3)


y−3=−2(x+4)


y+4=−2(x−3)

Answer 1

`y+4=-2(x-3)`

Explanation:

The slope of the line can be found using
`m=(y_2-y_1)/(x_2-x_1)`:

`(x_1,y_1)=(-1,4)\\(x_2,y_2)=(3,-4)\\m=((-4)-(4))/((3)-(-1))\\m=(-8)/(4)\\m=-2`

The general point-slope equation is
`y-y_1=m(x-x_1)`

Substitute (3,-4) for (
`x_1,y_1`) in the general point-slope equation:

`y-(-4)=(-2)[x-(3)]\\y+4=-2(x-3)`