The equation of the line is y = -3x + 6.
The line in the image has a slope of -3 and a y-intercept of 6. Therefore, the equation of the line is y = -3x + 6.
This can be found by using the point-slope form of linear equations:
y - y1 = m(x - x1)
where m is the slope of the line and (x1, y1) is a point on the line.
In this case, we can use the point (0, 6), which is the y-intercept of the line, as our point (x1, y1). Plugging this into the equation, we get:
y - 6 = -3(x - 0)
Simplifying the right side of the equation, we get:
y - 6 = -3x
Adding 6 to both sides of the equation, we get:
y = -3x + 6
Therefore, the equation of the line is y = -3x + 6.