The standard equation of a line format is:
y=mx+b
where m is the slope and b is the y-intercept
To find m, calculate the change in y over the change in x. To do so, choose two points on the graph that land on coordinates of whole numbers. Lets use points (0,6) and (1,1).
the change in y-values = 1-6 = -5
the change in x-values = 1-0 = 1
This makes the slope -5/1 or just -5.
m = -5
Now let’s find the y-intercept, which is easy for us because we already used it as one of our slope points. This is when x=0, so our y-intercept is the point (0,6).
b = 6
Now piece this together:
y = mx+b
y = -5x + 6
That is the equation of this line!