Answer:
y = 6x - 11
Step-by-step explanation:
The fact that the line passes through the origin makes it unusually easy to find the slope of this line: as we move from the origin to (-2, -12), x decreases by 2 and y decreases by 12. Thus, the slope of this line is m = rise / run = -12/(-2), or m = 6.
Using the point-slope formula for the equation of a straight line, we get:
y - k = m(x - h), or y + 19/5 = 6(x - 6/5).
Alternatively, y = 6x - 36/5 - 19/5, or y = 6x - 55/5, or y = 6x - 11
