Answer:
y = -2x + 0
Explanation:
y = mx + c
m = gradient and c = y intercept ( the point where the line intercepts the y axis)
Firstly, we can tell the gradient is negative because it has a negative slope (sorta like down a hill) where as x increases y decreases.
To calculate the gradient you use the equation y/x
Pick anywhere on you graph and measure. I have taken from (0,0) to (0,-4) for y and (0,-4) to (2,-4) for x.
Next subtract them (0,-4) - (0,0) = 0,-4. Then take that - 4 for y
Next subtract for them for x (0,-4) - (2,-4) = 0- 2 and -4 -(-4)
= -2 and -4 + 4 = 0
= -2
So y = -4 and x = -2
y/x = 4/2 = 2
Because we know our gradient is negative add a minus and we get our gradient as -2
For y intercept simply find where the line crosses through the y axis, which in this question happens to be 0
answer = -2x + 0