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

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:

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

Answers

Answer:

x + 5 < 7

Step-by-step explanation:

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
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