what is the equation of the line that is perpendicular to y = −2x + 5 through the point (-4, -5)

Answers

Answer 1

Step-by-step explanation:

m1=-2

m1m2=-1

-2m2=-1

m2=1/2

y+5/x+4=1/2

so 2y+10=x+4

2y-x=-6

Answer 2

Answer:

[tex]y=\frac{1}{2}x-3[/tex]

Step-by-step explanation:

Hi there!

We are given the equation y=-2x+5 and we want to find the equation of the line that is perpendicular to that line, and pass through the point (-4, -5)

Perpendicular lines have slopes that multiply to get -1.

So to find the slope of the perpendicular line: use the formula [tex]m_1*m_2=-1[/tex], where [tex]m_1=-2[/tex]

Substitute:

-2m=-1

Divide both sides by -2

m=[tex]\frac{1}{2}[/tex]

Here's the equation of the line so far, as we know it, written in slope-intercept form (y=mx+b, where m is the slope and b is the y intercept):

[tex]y=\frac{1}{2}x+b[/tex]

We need to find b.

Because we know the line passes through the point (-4, -5), we can use it to help solve for b.

Substitute -4 as x and -5 as y

[tex]-5=\frac{1}{2}(-4)+b[/tex]

Multiply:

-5=-2+b

Add 2 to both sides

-3=b

Substitute -3 as b:

y=[tex]\frac{1}{2}x-3[/tex]

Hope this helps!


Related Questions

Quadrilateral A’B’ C’ D ‘ is the result of reflecting quadrilateral ABCD across line l

Answers

Answer:

C

Step-by-step explanation:

Skate World offers birthday parties for a fee of $130 plus $3 per person. If you can spend no more than $190 on your party, what is the maximum number of people who can attend?
A) 20
B) 12
C) 14
D) 15

Answers

Answer:

a is the answer

Step-by-step explanation:

here

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Answers

Answer:

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Step-by-step explanation:

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Simplify the expression to a + bi form:
(4 – 3i) - (9 - 71)

Answers

Answer:

66-3i

Step-by-step explanation:

(4-3i)-(9-71)

(4-3i)-(-62)

(4-3i)-62

66-3i

submarine titan descended 93 meters into the ocean to look for fish. Submarine Odyssey descended 3 times as deep. What is Odyssey's depth below sea level in meters?

Answers

Answer:

279 meters

Step-by-step explanation:

This is just some simple multiplication. 93*3=279

Submarine Odyssey's depth below sea level is 279 meters.

Given that two submarines titan and odyssey, titan descended 93 meters and odyssey descended 3 times as deep.

We need to find the depth of the submarine odyssey.

To find Odyssey's depth below sea level, we can start by determining the depth that Submarine Titan descended.

According to the given information, Submarine Titan descended 93 meters into the ocean to look for fish.

Now, we need to find the depth that Submarine Odyssey descended, which is three times as deep as Submarine Titan.

We can calculate this by multiplying the depth of Submarine Titan (93 meters) by 3:

Depth of Submarine Odyssey = 93 meters x 3 = 279 meters

Therefore, Submarine Odyssey's depth below sea level is 279 meters.

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The temperature dropped 4°C every hour for 6 hours. What was the total number of degrees the temperature changed in the 6 hours?

Answers

Answer:

-24 degrees Celsius

Step-by-step explanation:

6 x -4 = -24

Answer:

24 degrees.

Step-by-step explanation:

6 * 4 = 24.

Match the vocabulary word with the correct definition.
1. rectangular solid
A:A segment whose endpoints are vertices not in the same face.
2. faces
B:A solid figure whose faces are all rectangles.
3. diagonal of a rectangular solid
C:The sides of a solid figure.

Answers

1-C 2B 3A correct response

Answer:1-C 2B 3A

Step-by-step explanation:

An athlete of mass 60 kg running at a velocity of 10 m/s

Answers

Answer:600kgms-1

Step-by-step explanation:

mass *velocity

60*10 =600

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Answers

Answer:

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Answers

Answer:

10°

Step-by-step explanation:

the sum of interior angles of triangle is 180°

so. 8x+x+90°=180°

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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:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answer:

5.857

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Answers

Answer:

Simplify the expression.

Exact Form:

1/6561

Decimal Form:

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Step-by-step explanation:

1/6561

Answer:

1/6561

Step-by-step explanation:

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explain mathematically how you know 15y=18 and 5y=6 are equivalent

Answers

Answer:

15y + 18 and 5y = 6 are equivalent because when you divide 15y and 18 by 3

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Answers

his profit is $12
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Selesaikan persamaan linear serentak berikut.
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Answers

Answer:

(-1;-3)

Step-by-step explanation:

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Answers

Answer:

- 3p + 10

Step-by-step explanation:

- p + 2 - 2p + 8 ← collect like terms

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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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:

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