Question

What is the point slope form of the line with slope -1/4 that passes through the point (-2,9)

A. Y-9=-1/4(x+2)

B. Y+2=-1/4(x-9)

C. Y-2=-1/4(x+9)

D. Y+9=-1/4(x-2)

Answer 1

`y - 9 = (-1)/(4)(x+2)` which is option A

Step-by-step explanation:

The general form of the linear equation in point-slope form is:

y - y₁ = m(x - x₁)

where:

m is the slope

(x₁ , y₁) is a point on the line

We are given that:

slope of the line = m =
`(-1)/(4)`

the point on the line = (x₁ , y₁) = (-2 , 9)

We now substitute with the givens in the general form to get the equation:

`y - y_(1) = m(x-x_(1))\\\\ y-(9) = (-1)/(4)(x-(-2))\\  \\ y-9=(-1)/(4)(x+2)`

Hope this helps :)