The slope of the perpendicular line is
the negative reciprocal
. This means you change the sign of the slope to its opposite: in this case to 3. Then find the reciprocal by switching the denominator and numerator to get 1/3; therefore the slope of the perpendicular line is 1/3.
What is the slope that is perpendicular to?
Perpendicular Lines and Slopes
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 slope is perpendicular to m =- 3?
Using the slope-intercept form, the slope is
Undefined
.
What is the slope of a line perpendicular to 3 2?
Explanation: First rearrange the equation so that it is in slope-intercept form, resulting in y=2/3 x + 14/9. 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
.
What is the perpendicular slope of 3 4?
The slope that is perpendicular to 34 is its negative reciprocal, which is
−43
.
How do you know if a slope is parallel or perpendicular?
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.
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. In this case, the slope of the line is and the slope of the line is .
Which line is perpendicular to a line that has a slope of 1 3?
The slope of a line perpendicular to one with the slope of 13 is
−3
.
What is the slope of a line perpendicular to 5 7?
Using the slope-intercept form, the slope is Undefined. The slope of a perpendicular line to a vertical line is
zero
.
What is the slope of any line parallel?
The slope of the parallel line is
undefined
and the slope of the perpendicular line is 0.
What is the perpendicular slope of 7?
Explanation: The line y = -7 is a horizontal line running through the y axis at -7. This line has a slope of
0
because it does not rise. Any x = line will run vertically on the coordinate grid and therefore be perpendicular to the y = -7 line.
What is the slope of the line 3x 8y 16?
What is the slope of a line parallel to the line described by 3x + 8y =16? Explanation: First, you should put the equation in slope intercept form (y = mx + b), where m is the slope. The slope of the line is
-3/8
.
What is the slope of the line perpendicular to Y 3 4x?
1 Expert Answer
As the value written next to “x” indicates the value of Slope in this equatiuon the slope of the line is given as “3/4”. Thus the line perpendicular to this line will have a slope of “
-4/3′′
.
What is the slope perpendicular to M 5 8?
Using the slope-intercept form, the slope is Undefined. The slope of a perpendicular line to a vertical line is
zero
.
How do you determine if two lines are parallel?
To see whether or not two lines are parallel, we
must compare their slopes
. Two lines are parallel if and only if their slopes are equal. The line 2x – 3y = 4 is in standard form. In general, a line in the form Ax + By = C has a slope of –A/B; therefore, the slope of line q must be –2/–3 = 2/3.
How do you prove two lines are parallel?
If two lines are cut by a transversal and the alternate exterior angles are equal
, then the two lines are parallel. Angles can be equal or congruent; you can replace the word “equal” in both theorems with “congruent” without affecting the theorem. So if ∠B and ∠L are equal (or congruent), the lines are parallel.
