The slopes of two perpendicular lines are
negative reciprocals of each other
. This means that if a line is perpendicular to a line that has slope m, then the slope of the line is -1 / m. For example, we found that the slope of the line y = (1/2)x + 3 is 1/2.
What is the perpendicular slope of 5?
Explanation: Perpendicular lines have slopes that are
negative reciprocals
of one another. The given line’s slope is 5, which means that the slope of the other line must be its negative reciprocal.
What is the perpendicular slope of 4?
Solution: The given line has slope m = -4. Therefore the perpendicular line’s slope is
(1/4)
, because that is the negative reciprocal of -4.
What is the perpendicular slope of negative 1?
If two lines are perpendicular, the slopes are
negative reciprocals
. (The product of the slopes = -1.) since their slopes of 0 have undefined reciprocals.
What is the perpendicular slope of 1 3?
The slope of a line perpendicular to one with the slope of 13 is
−3
.
How do you know if a slope is perpendicular?
Explanation: If the slopes of two lines can be calculated, an easy way to determine whether they are perpendicular is
to multiply their slopes
. If the product of the slopes is , then the lines are perpendicular.
What is the slope of a line perpendicular to 3 2?
Correct answer:
The slope of this line is 2/3, so the slope of the line perpendicular will have the opposite reciprocal as a slope, which is
-3/2
.
Is Y 4 perpendicular line?
The line y = –4 is a
horizontal
line, so its slope is 0, which isn’t 1. The answer is the line y = x + 4, because it is the only line with a slope of 1.
What is the perpendicular slope of 3 4?
The slope that is perpendicular to 34 is its negative reciprocal, which is
−43
. m1m2=−1 , where m1 is the given slope and m2 is the perpendicular slope. Multiply both sides by 43 .
How do you find a perpendicular equation?
Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is
y = 1⁄2x + 6
.
What is the slope undefined?
An undefined slope (or an infinitely large slope) is
the slope of a vertical line
! The x-coordinate never changes no matter what the y-coordinate is! There is no run!
How do you tell if a slope is parallel/perpendicular or neither?
Answer:
Lines with the same slope are parallel
and if the slope of one line is the negative reciprocal of the second line, then they are perpendicular.
What is the perpendicular slope of 5 8?
Using the slope-intercept form, the slope is Undefined. The slope of a perpendicular line to a vertical line is
zero
.
What is the opposite slope of 3?
The opposite of 3 is
−3
.
What does a perpendicular line look like?
A perpendicular is
a straight line that makes an angle of 90
°
with another line
. 90
°
is also called a right angle and is marked by a little square between two perpendicular lines as shown in the figure. Here, the two lines intersect at a right angle, and hence, are said to be perpendicular to each other.
