Answer:
Slope of Line B = 3/5.
Explanation:
Relating the slopes of perpendicular lines:
- The slopes of perpendicular lines are negative reciprocals of each other.
We can see this with the equation m2 = -1 / m1, where
- m2 is the slope of the other line (i.e., Line B in this case),
- and m1 is the slope of the line we're given (i.e., -5/3 from Line A).
Finding m2, the slope of the other line:
Thus, we can find m2, the slope of Line B by substituting -5/3 for m1 in the perpendicular slope formula above:
m2 = -1 / (-5/3)
m2 = -1 * -3/5
m2 = 3/5
Thus, the slope of Line B is 3/5.