What Is Perpendicular To Y 6x?

by | Last updated on January 24, 2024

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When lines are perpendicular, one slope is the negative reciprocal of the other. In y=6x the gradient

is 6

.

What equation is perpendicular to Y 6x 2?

The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is 6 6 . The equation of a perpendicular line to y=6x−2 y = 6 x – 2 must have a slope that is the

negative reciprocal of the

original slope.

What is perpendicular to x6?

Since x=6 is a vertical line, the slope is undefined. The perpendicular line is

horizontal

and the slope is 0 .

What is the slope of the line that is perpendicular to Y 6?

Precalculus Examples

The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is 0 0 . The perpendicular line is vertical and the

slope is undefined

.

What is the perpendicular slope of 6?

The slope of a perpendicular line to a vertical line is

zero

.

Is Y 6x 2 perpendicular?

1 Expert Answer

For example, if the slope of one line is -2, then the slope of the other (perpendicular) line is 1/2. In this case y = -6x+2. The slope is –

6

. So the slope of the line perpendicular to the given line is 1/6.

What is the slope of a line parallel to the line with equation 5x − 2y 11?

Using the slope-intercept form, the slope is

52

. All lines that are parallel to y=5×2−112 y = 5 x 2 – 11 2 have the same slope of 52 .

How do you know if two lines are perpendicular?

Two lines are perpendicular if and

only if the product of their slopes is

. In other words, the slope of a line that is perpendicular to a given line is the negative reciprocal of that slope. Thus, for a line with a given slope of 3, the line perpendicular to that slope must be the negative reciprocal of 3, or .

What slope is perpendicular?

Vertical lines and horizontal lines are perpendicular to each other. The slope of the perpendicular line in this case would be the slope of a horizontal line which would be

0

. The slope of the parallel line is undefined and the slope of the perpendicular line is 0.

How do you solve perpendicular lines?

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

. Rearranged, it is –x/2 + y = 6.

What is the slope of a line perpendicular to Y 5x 6?

Algebra Examples

Using the slope-intercept form, the slope is

5 5

.

What is the slope of a line perpendicular to 3 2?

So the slope of the perpendicular line is the reciprocal of 3/2 which is multiplied by -1. Therefore, the slope of a line that is perpendicular to the line whose equation is 2y = 3x – 1 is

-2/3

.

What is the slope of a line that is perpendicular to the line y 1 6X 4?

Using the slope-intercept form, the slope is

16

. The equation of a perpendicular line to y=x6+4 y = x 6 + 4 must have a slope that is the negative reciprocal of the original slope.

What is the slope of a line perpendicular to Y =- 7 4x?

Using the slope-intercept form, the slope is

−74

. The equation of a perpendicular line to y=−7×4 y = – 7 x 4 must have a slope that is the negative reciprocal of the original slope.

Which line is perpendicular to a line that has a slope of?

Perpendicular lines have negative reciprocal slopes. That means the fraction is flipped and multiplied by negative 1. So if one line has a slope of 3/5, then a line perpendicular to it has a slope of

-5/3

.

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.

David Martineau
Author
David Martineau
David is an interior designer and home improvement expert. With a degree in architecture, David has worked on various renovation projects and has written for several home and garden publications. David's expertise in decorating, renovation, and repair will help you create your dream home.