Mathematics High School

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

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

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

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:

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