A line l touches the Y-axis at point 3 and has slope –3. Find the slope of the line perpendicular to the line l.

The correct answer is: Slope of the line which is perpendicular to line l is 1 third

Hint:-
1. The slope of a line can be defined as the change in y coordinates of any 2 points on that line corresponding to the change in the x coordinates of those 2 points. This is generally referred to as the rise to run ratio of the given line i.e. how much did the y-coordinates rise vis - a - vis how long a distance was covered by the x-coordinates. Slope = m = rise / run = y2-y1 / x2-x1
2. Slopes of perpendicular lines are negative reciprocals of each other.
Step-by-step solution:-
Slope of line l = -3 …...................... (Given).
The given line is perpendicular to line l ….................. (Given)
We know that slopes of perpendicular lines are negative reciprocals of each other.
∴ Slope of the given line = -1/ slope of line l
∴ Slope of the given line = -1/ -3
∴ Slope of the given line = 1/3
Final Answer:-
∴ Slope of the line which is perpendicular to line l is .