Answer:
Option 1: -5
Explanation:
The slopes of perpendicular lines are negative reciprocals of each other, as shown by the formula m2 = -1/m1, where:
- m2 is the slope of the line we're trying to find,
- and m1 is the slope of the line we're given.
This means that once we identify the slope of y = 1/5x - 11, we can find the slope of the other line.
Finding m1:
y = 1/5x - 11 is in the slope-intercept form of a line, whose general equation is given by:
y = mx + b, where
- m is the slope,
- and b is the y-intercept.
Thus, the slope of y = 1/5x - 11 (i.e., m1) is 1/5.
Finding m2:
Now we can find the slope of the other line (i.e., m2) using the perpendicular slope formula:
m2 = -1 / (1/5)
m2 = -1 * 5/1
m2 = -5
Thus, the slope of the other line is -5 (Option 1).