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)

which is option A

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 =

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

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

Hope this helps :)