Question
The slope of the line perpendicular to y = 3x + 8 is _____.
- 3
- -3
Hint:
Perpendicular lines have slopes that are negative reciprocals of each other.
The correct answer is:
The equation of line y = 3x + 8 is in slope-intercept form.
The equation of a line y = mx + b in slope-intercept form gives the slope =m1 and y-intercept = b
So, the slope of the line(m1) y = 3x + 8 is 3
Perpendicular lines have slopes that are negative reciprocals of each other.
We know that the product of slopes of perpendicular lines is m1 
m2 = -1
Where m1 = slope of line 1
m2 = slope of line 2
Thus, m2 = 
m2 = 
Thus, the slope of the line perpendicular to y = 3x + 8 will be .
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