Answer:
y = -2x - 4
Explanation:
Slope intercept form : y = mx + b
Where
Finding Y - Intercept
The y intercept is the point where the line crosses the y axis.
Here, just by looking at the graph we can say that the y intercept is at (0,-4) because that is where the line passes the y intercept.
This means that b = - 4
Finding the slope
We can find the slope using the following formula
Slope = (y2-y1)/(x2-x1)
Where, (x1,y1) and (x2,y2) are any given points on the line
The points used can vary however I have chosen (0,-4) and (-2,0)
Defining our variables we get (x1,y1) = (0,-4) and (x2,y2) = (-2,0)
So we have x1 = 0 , x2 = -2 , y1 = -4 and y2 = 0
We now plug this in to the formula
Slope = (y2-y1)/(x2-x1)
==> plug in x1 = 0 , x2 = -2 , y1 = -4 and y2 = 0
Slope = (0-(-4))/(-2-0)
==> remove parenthesis
Slope = (0+4)/(-2-0)
==> simplify addition and subtraction
Slope = 4/-2
==> simplify fraction
Slope = -2
So the slope or "m" is -2
Plugging the y intercept and slope into y intercept form
Again we have y = mx + b
m = slope so m = -2 and b = y intercept so b = -4
Plugging this in, we acquire y = -2x - 4