Answer:
y + 4 = 2(x - 2)
Explanation:
There is an infinite number of possible equation that satisfies this requirement. If the y = -4 when x = 2 in the equation, the point (2, -4) must be a solution to the equation. We can use the point-slope form to create an equation that satisfies this requirement. The point-slope form is:
y - y1 = m(x - x1) where m is the slope and (x1, y1) is a solution to the equation.
We know that (2, -4) must be a solution to the equation that we are trying to make. We can use (2, -4) as our (x1, y1). Since having (2, -4) as a solution is our only requirement, the slope can be any real number. I am going to make my slope 2 (you can choose whatever you want). So:
(x1, y1) = (2, -4)
m = 2
Now plug these into out point-slope equation:
y + 4 = 2(x - 2)
Remember, this is just one of infinitely many equations that meets the requirement.
Happy studying. :)