Answer:
y = (-6/7)x - 1
Step-by-step explanation:
There's a dot where this line crosses the y-axis; it's represented by the point (0, -1). Consequently, the y-intercept, b, of this line is -1.
As x increases from -6 to 0, y decreases from 7 to -1. The change in x is 7 units and the change in y is -6 units. Thus, the slope of this line is
m = rise / run = -6 / 7.
Again, the y-intercept is b = -1.
Thus, inserting the knowns into the slope-intercept form of the equation of a straight line results in:
y = (-6/7)x - 1