Question

The slope of the line below is -3 which is the following is the point - slope from the line ?

Answer 1

D.
`y - 2 = -3(x+6 )`

Explanation:

Well point slope form is,

`y - y_(1) = m(x-x_(1) )`

So we already have slope meaning we can plug that in for m.

`y - y_(1) = -3(x-x_(1) )`

And with the given point (2,-6),

we can create point slope form.

`y - 2 = -3(x+6 )`

Therefore,

the answer is d.
`y - 2 = -3(x+6 )`.

Hope this helps :)

Answer 2

D. y + 6 = -3(x - 2)

Explanation:

To find the equation in point-slope form, you need to use the slope and a point from that line. The slope is -3 and the point given is (2, -6).

Point-slope form is y - y₁ = m(x - x₁). Plug in the slope and point.

y - (-6) = -3(x - 2)

y + 6 = -3(x - 2)