Well, we know the line equation is y = mx + b where m is slope and b is the y-intercept - where the line crosses the y axis. Looking at the graph, it seems the line is passing through the origin (0, 0). This means that the line goes through the y axis at y = 0 = b. Now, to find the slope, we need the slope formula. The formula is simply the change in the rise of two points over the change in the run, so (y₂ - y₁) / (x₂ - x₁). Let's use two points the line crosses through - the origin (0, 0) and the point (-4, 1):
(y₂ - y₁) / (x₂ - x₁)
(1 - 0) / (-4 - 0)
1/-4 = -1/4
So, let's put these values back into the original equation:
y = (-1/4)x + 0
y = (-1/4)x
