What is an equation of the line that passes through the point
(
6
,

4
)
(6,−4) and is perpendicular to the line
2
x

y
=
5
2x−y=5

What Is An Equation Of The Line That Passes Through The Point (6,4)(6,4) And Is Perpendicular To The

Answers

Answer 1

Answer:

x + 2y = -2

Step-by-step explanation:

Well let's examine the relation between x and y in a perpendicular line.

We can use the fact that for a line Ax + By = C, any line with equation Bx + (-A)y = D is perpendicular (swapping A and B gives a mirror image with respect to the line x=y and changing one of the signs gives a mirror image with respect to axis x or y. Those two together give a perpendicular line).

So we're looking for a line with equation x + 2y = D

We know what it passes through the point (6, -4), so let's input it into the equation x + 2y = D

6 + 2*(-4) = D

6 - 8 = D

D = -2

So the equation is x + 2y = -2

note that 2x + 4y = -4

or any other multiple also works.


Related Questions

A jewelry box is a rectangular prism with a length of 9 inches and a height of 4 1/4 inches. The volume of the jewelry box is 283 1/2 cubic inches what is the width of the box?

Answers

Around 7.4 inches. You can’t get an exact answer because the numbers don’t line up

Which inequality is represented by a number increased by 5 is less than 7.​

Answers

Answer:

x + 5 < 7

Step-by-step explanation:

A triangle has angle measurements of 108°, 30°, and 42°. What kind of triangle is it?
Equilateral
Isosceles not Equilateral
Scalene

Answers

it is a scalene triangle

Step-by-step explanation:

equilateral triangle has 3 equal sides, isosceles triangle has two equal sides and scalene has 3 three different angle measurement

In 9.8326, in which place is the 6?

Answers

Answer:

the ten thousands place

Step-by-step explanation:

uh no explanation too straight forward.

Answer:

the ten-thousandths place

Step-by-step explanation:

Other Questions
#10 Which sentence in the last paragraph best distinguishes the authors point of view from that of others?A)Some people say it is too difficult to implement many of the principles outlined in the declaration, but these critics misinterpret the documents purpose.B)The principles outlined in the declaration have influenced the constitutions of new nations.C)They have also provided a foundation for human rights groups seeking to hold governments accountable for their actions.D)These are important accomplishments. Michael Jordan is one of the best basketball players of all time. Like all athletes, he had dreams. He achieved them by setting goalsboth short-term and long-term. In his autobiography, I Cant Accept Not Trying: Michael Jordan on the Pursuit of Excellence, he speaks about short-term goal setting. Read the excerpt to see how he set these goals and what he did when he achieved them.I approach everything step by step ... I had always set short-term goals. As I look back, each one of the steps or successes led to the next one. When I got cut from the varsity team as a sophomore in high school, I learned something. I knew I never wanted to feel that bad again ... So I set a goal of becoming a starter on the varsity. Thats what I focused on all summer. When I worked on my game, thats what I thought about. When it happened, I set another goal, a reasonable, manageable goal that I could realistically achieve if I worked hard enough ... I guess I approached it with the end in mind. I knew exactly where I wanted to go, and I focused on getting there. As I reached those goals, they built on one another. I gained a little confidence every time I came through.What lessons in Jordans description apply to anyone who is trying to achieve a goal? Identify two examples and examine why theyre relevant to any goal. IF i have a F how many A's will i need to get an B At terminal velocity, which two forces are balanced? *gravity and air resistancegravity and magnetismO magnetism and air resistanceO friction and air resistance which of tbe following are MAINLY energy sources? Choose all that applyA. protein B. glucose C. triglyceride D. amino acid E. amylosePlease help and No Links! 6. Las cuerdas vocales permiten la emisin dea) imgenes bsonidosc) coloresd)formase) texturas Find the perimeter and the area of the polygon with the given vertices.A (12,2), B (12,13), C (15,13), D (15,2)The perimeter is __ units.The area is __ square units. Could someone help me please? Which inequality is represented by a number increased by 5 is less than 7. A jewelry box is a rectangular prism with a length of 9 inches and a height of 4 1/4 inches. The volume of the jewelry box is 283 1/2 cubic inches what is the width of the box? A triangle has angle measurements of 108, 30, and 42. What kind of triangle is it?EquilateralIsosceles not EquilateralScalene Combine any like terms in the expression. If there are no like terms, rewrite the expression. (NO TROLL ANSWERS, OR ELSE!) please help me please In 9.8326, in which place is the 6? A 10 g bullet moving horizontally with a speed of 2000 m/s strikes and passes through a 4.0 kg block moving with a speed of 4.2 m/s in the opposite direction on a horizontal frictionless surface. If the block is brought to rest by the collision, what is the kinetic energy of the bullet as it emerges from the block. Round off your answer to zero decimal places. What is the value of the contangent of which army did many freed slaves and free men of color join Is this answer correct^ Which of the following elements of a newspaper can inform how theinformation is presented?O A. HeadlineO B. PhotographyO C. CoverageO D. All of the above please answer fast, this is urgent no explanation need just list answer 1,2,3etc. thanks :)