Answer:
y+6 =-2(x-5)
Explanation:
The question is asking for the equation of the line
The equation for point-slope form is always written as y-y₁=m(x-x₁)
y₁ and x₁ are the points given to you in this order (x₁, y₁)
so x₁=5 and y₁=-6
Now you plug in all the numbers you have into the point slope form
y- (-6)= -2(x-5)
When you subtract a negative (a double negative you get a positive)
y+6=-2(x-5)
Point-Slope form is usually the easiest form of a line to write since you do not need to solve for any intercepts or other points. You have y on one side of the equation, usually the left to make it easier to read, and x on the other, usually the right.You subtract the point that you are given from the y and the x. Multiply everything that is on the same side of the equation of the x by the slope (m).
Notes:
For y₁ and x₁, they could be any point on the line. For example, (1,2) is also on this line. So the equation would be
y-2=-2(x-1)