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

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Answers

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Isosceles not Equilateral
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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

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

uh no explanation too straight forward.

Answer:

the ten-thousandths place

Step-by-step explanation:

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