The slope of lien b is 1/3.

What is the slope of a line perpendicular to line b?

-1/3
-3
1/3
3

My answer: -1/3

Note: there is no graph for this

nope. lines perpendicular have slopes of the NEGATIVE RECIPROCAL slope.

if line 2 slope 5.5
line perpendicular slope = -1/5.5

To find the slope of a line perpendicular to line b, we need to understand that the slopes of perpendicular lines are negative reciprocals of each other.

Given that the slope of line b is 1/3, we can find the slope of a line perpendicular to line b by taking the negative reciprocal of 1/3.

The negative reciprocal of a fraction can be found by flipping the fraction and changing the sign.

So, the negative reciprocal of 1/3 is -3/1, which simplifies to -3.

Therefore, the slope of a line perpendicular to line b is -3.