Answer:
The equation is: y = -2x -6
Explanation:
We have the slope which is - 2. This the main form of a straight line equation is: y = mx + c
y = y point (2)
m = slope (-2)
x = x point (-4)
c = constant - this you need to work out!
Firstly we arrange the equation: y = mx + c
We substitute or replace what we already know into this equation. It is like building a puzzle and only the last piece is unknown and we are trying to make this last piece fit into this puzzle.
The only thing we don't know is what c equals to. After substituting, we get
y = -2x + c.
We can further substitute x and y which is the point (-4;2), we then get:
2 = - 2(- 4) + C
and by using simple math by taking the
- 2(- 4) (which equals to +8, since multiplying 2 negative numbers give you a positive number) to the other side which becomes negative, will give you c = - 6.
Then sub C into the equation.
Hope this helps. :)