What is an equation of the line that passes through the point (-1, -3) and is perpendicular to the line x –2y = 14?​

Answers

Answer 1
Make equation: y = mx + b
x = 2y + 14
2y = x - 14
y = 1/2x - 7
Perpendicular: opposite sign and reciprocal slope
y = -2x + b
-3 = -2(-1) + b, b = -5
Equation: y = -2x - 5
Answer 2

The equation of the line passing through the point ( -1,-3) will be y = -2x - 5.

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

Given that the line passes through the point (-1, -3) and is perpendicular to the line x –2y = 14. the equation of the line will be calculated as:-

Make equation: y = mx + b

x = 2y + 14

2y = x - 14

y = 1/2x - 7

For a line perpendicular, the sign will be opposite and the slope will be reciprocal.

y = -2x + b

-3 = -2(-1) + b, b = -5

The equation of the line will be written as below:-

y = -2x - 5

Therefore, the equation of the line passing through the point ( -1,-3) will be y = -2x - 5.

To know more about an equation of the line follow

https://brainly.com/question/2141803

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Related Questions

Determine which set of numbers represent the lengths of the sides of a triangle.

A.
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B.
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C.
47, 21, 70
D.
12, 2.2, 14.3

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Answer:

I think its A

Step-by-step explanation:

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the sum of renting bowling shoes for $6 and $3 per game

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3x +6b = x
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Answer:

9

Step-by-step explanation: 6+3=9

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True or False: -10 > -65




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Answers

Answer:

True

Step-by-step explanation:

on a number line -10 is further right than -65.

Answer:

True -10 is closer to 1 the -65

Step-by-step explanation:

One number is 6 less than another number. Their sum is 50. What is the smaller number?

If x = the larger number and y = the smaller number, then which of the following systems could be used to solve the problem?


x + y = 50 and -x + y = 6
x + y = 50 and x - y = 6
x + y = 50 and x + y = 6
x - y = 50 and x + y = 6

Answers

Answer:

y = 2x - 6

Step-by-step explanation:

There are 914.4 millimeters in a yard . There are 3 feet in a yard . How many millimeters are in a foot !

Answers

Answer:

304.8 millimeters

Step-by-step explanation:

Answer:

0.003

Step-by-step explanation:

Simon bought 3.5 pounds of Beef on sale for $1.25 per pound at HEB. If Simon gave the cashier $10.00, how much change would he receive from this purchase?

Answers

Answer:

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Step-by-step explanation:

Solve the following proportion for u.
17/13=u/4

Answers

Answer:

u=5.23

Step-by-step explanation:

[tex]\frac{17}{13} =\frac{u}{4}\\13u=68~by~cross-multiplication\\u=5.23~rounded~to~the~nearest~hundreds[/tex]

Find the difference.

89 – 52.05
A. 36.95
B. 35.95
C. 37.95
D. 37.05

Answers

The answer your looking for is A. 36.95
Just calculate 89-52.05 into a calculator not that hard lol

help me please I dont know the answer and I am cleaning the house for my mom​

Answers

17/20 = t + (- 13/20)

t = 17/20 + 13/20

t = 30/20

t = 1.5

What is the area of this figure?
4 yd
2 yd
2 yd
2 yd
5 yd
5 yd
2 yd
6 yd

Answers

Answer:

4+8+10+6=28

Step-by-step explanation:

Which correctly describes how the graph of the inequality -5x+3y>9

Answers

What’s are the answer choices??

Line segment RS has endpoints R(– 2, 4) and S (– 4, – 1). Line segment R''S'' has endpoints R'' (3, – 3) and S'' (5, 2). Name the transformations that map line segment RS to line segment R''S''. reflection over the line y = x, followed by a translation (x, y) → (x + 1, y + 1) rotation of 180° about the origin, followed by a translation (x, y) → (x + 1, y + 1) rotation of 90° counterclockwise about the origin, followed by a translation (x, y) → (x + 2, y + 1) translation (x, y) → (x + 1, y + 1), followed by a rotation of 180°counterclockwise about the origin

Answers

Answer:

Rotation of 180° about the origin,

Followed by a translation (x, y) → (x + 1, y + 1)

Step-by-step explanation:

Given

[tex]R = (-2,4)[/tex]

[tex]S = (-4,-1)[/tex]

[tex]R" = (3,-3)[/tex]

[tex]S" = (5,2)[/tex]

Required

Determine the transformations

From the list of given options (B) answers the question.

Rotation of 180° about the origin,

When a point (x,y) is rotated 180 about the origin, the new point becomes (-x,y)

So:

[tex]R = (-2,4)[/tex]

[tex]S = (-4,-1)[/tex]

becomes

[tex]R' = (2,-4)[/tex]

[tex]S' = (4,1)[/tex]

A translation (x, y) → (x + 1, y + 1)

This implies that 1 is added to the x and y coordinates

So:

[tex]R' = (2,-4)[/tex]

[tex]S' = (4,1)[/tex]

becomes

[tex]R" = (2 + 1,-4 + 1)[/tex]

[tex]R" = (3,-3)[/tex]

[tex]S"=(4 +1,1+1)[/tex]

[tex]S" = (5,2)[/tex]

Identify the slope of the table​

Answers

Answer:

The alop is 4. Glad this helps.

Answer:

the slope is 4

Step-by-step explanation:

Please help me I really don't know
The function 1.5x + 0.5y = 12 represents the number of hardcover books x and softcover books y you can buy at a used book sale.
a. solve the equation
b. make an input-output table to find ordered pairs for the function.
c. plot the ordered pairs in a coordinate plane.

Answers

Answer:

Step-by-step explanation:

Let's solve for x.

1.5x+0.5y=12

Step 1: Add -0.5y to both sides.

1.5x+0.5y+−0.5y=12+−0.5y

1.5x=−0.5y+12

Step 2: Divide both sides by 1.5.

1.5x

1.5

=

−0.5y+12

1.5

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Answer:

x=−0.333333y+8

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Answer: 34/5

Step-by-step explanation:

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Answer:

9

Step-by-step explanation:

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Answers

Answer:

6x - 2y

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Help... pls ASAP Fill in the blanks

Answers

Answer:

I got this! Basically, the instructions say 12 gallons per 3 minutes. So you plug in the 12/3 to find the ratio of how many gallons per 1 minute.

Step-by-step explanation:

So, for the chart you just mulitply and evauluate

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Answer:

The first equation is -8y

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Step-by-step explanation:

Hope that helps you out! :)

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is j + 8 = 72 a solution

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Answer:

B

Step-by-step explanation:

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At what value of x does the line you graphed intersect the line
y=5? Show how you determined your answer.

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There is no graph here

PLEASE HELP ME!!!!
What is the domain and range of the relation shown in the table?

Answers

Answer:

the answer is c

Step-by-step explanation:

good luck

Answer:

last option

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It may be the one above it but you have to be careful because it might say that 0 is a real number or it is not. Fair warning!

Step-by-step explanation:

The domain is the x values and the range is the y values.

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A truck is working to carry a batch of goods including sand and
stone but it can only carry 20 tons at most. The carriage
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Answer:

Y=10

Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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