Answer:
[tex]y - 9 = \frac{-1}{4}(x+2)[/tex] 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 = [tex]\frac{-1}{4}[/tex]
the point on the line = (x₁ , y₁) = (-2 , 9)
We now substitute with the givens in the general form to get the equation:
[tex]y - y_{1} = m(x-x_{1})\\\\ y-(9) = \frac{-1}{4}(x-(-2))\\ \\ y-9=\frac{-1}{4}(x+2)[/tex]
Hope this helps :)
