Answer:
y = -1/3x + 2
Explanation:
The slope of a line that is perpendicular has an opposite inverse of the slope of the line given.
The slope of the line given is 3. The opposite inverse is -1/3.
Use the slope (-1/3), the x(3) and the y(1) to find the y-intercept (b) and to write the equation of the line.
y =mx + b
1 = -1/3(3) + b
1 = -1 + b Add 1 to both sides
2 = b
y = -1/3x + 2