Answer:
Carlos is incorrect.
Step-by-step explanation:
We have been given that a line through the origin has a slope of . Carlos thinks the slope of a perpendicular line at the origin will be 3.
We know that the slope of a perpendicular line to a given line is always negative reciprocal of the slope of the given line.
The slope of the perpendicular line at the origin will be negative reciprocal of .
Let us find negative reciprocal of as:
Since the slope of a perpendicular line at the origin is , therefore, Carlos is incorrect.