Write an equation of a line that passes through the point (4,3) and is perpendicular to the graph of the equation y=−13x+4.

Answers

Answer 1

Answer:

An equation of a line that passes through the point (4,3) and is perpendicular to the graph of the equation will be:

[tex]y=\frac{1}{13}x+\frac{35}{13}[/tex]

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

[tex]y=mx+b[/tex]

where

m is the slopeb is the y-intercept

Given the line

y = -13x+4

comparing with the slope-intercept form of the line equation

The slope of the line = m = -13

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = -13

Thus, the slope of the the new perpendicular line = – 1/m = -1/-13 = 1/13

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where

m is the slope of the line(x₁, y₁) is the point

substituting the values of the slope m = 1/13 and the point (4, 3)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-3=\frac{1}{13}\left(x-4\right)[/tex]

Add 3 to both sides

[tex]y-3+3=\frac{1}{13}\left(x-4\right)+3[/tex]

[tex]y=\frac{1}{13}x-\frac{4}{13}+3[/tex]

[tex]y=\frac{1}{13}x+\frac{35}{13}[/tex]

Therefore, an equation of a line that passes through the point (4,3) and is perpendicular to the graph of the equation will be:

[tex]y=\frac{1}{13}x+\frac{35}{13}[/tex]

Related Questions

how to simplify (4x + 3) - (6x - 2) + (3x + 5)

Answers

Answer:

It is simplified as x + 10.

Step-by-step explanation:

Convert the negative sign for the second parentheses equation to -6x + 2.  Your equation should now look like this 4x + 3 -6x + 2 + 3x + 5.  Combine the 3 x value terms and the 3 non-value terms together to get your simplified answer which is x + 10.

Algebra 2. Please help! I got 40% on my last try

Answers

Maybe third one ( -2 -8)

Answer: x=-6 so it has to be the first option

Step-by-step explanation:

This is the answer upon dividing the polynomial.

Solve for b. 48=56+8b

Answers

Answer:

the answer:  b= -1

Step-by-step explanation:

If you can explain and show me the answers that would be great!​

Answers

Answer:

1) B=-12

2) 189.69

Step-by-step explanation:

Explanation 1: To find B, we have to replace the given points in the equation, that is , x=2 and y=1

[tex]3x+By+6=0\\3.2+B.1+6=0[/tex]

Then we solve for B.

[tex]6+B+6=0\\B+12=0\\B=-12\\[/tex]

Hence , B=-12

explanation 2: you have the following equation for the number of liters 3% milk:

[tex]0.03+0.1(200)-x=0.05(200)[/tex]

Solve the previous equation for x:

[tex]0.03x+20-x=10[/tex]

[tex]0.03-x=10-20\\-0.97x=-10\\x=10.31[/tex]

Hence , there are 10.31 liters of 3% milk  

Add the numbers of liters 10% butterfat is :

[tex]200-10.31=189.69 liters[/tex]

PLEASE MARK ME AS BRAINLIEST


The weights, in pounds, of Mike's five pet dogs are listed below. What is the mean absolute
deviation (MAD) of the weights?
16, 23, 27, 41, 53
Type the answer in the box.
pounds

Answers

Answer:12

Step-by-step explanation: i took the iready test

Answer: 12

Step-by-step explanation:

What is the final amount if 1102 is increased by 2% followed by a further 1% increase?
Give your answer rounded to 2 DP.

Answers

Answer:

1135.28

Step-by-step explanation:

1102 * (1.02) = 1124.04

1124 * (1.01) = 1135.28

Pls help
Show workings

Answers

Answer:

(-3,0)

Step-by-step explanation:

So first we wanna find how for the x value is on point a to point b and how far the y value is from point a to point b. the x on point a is 9 units away from point b and y is 18 units away. Then we find out what 2/3s of 9 and 18 is which would be 6 and 12. So then we take the A coordinates (9,-6) and subtract 12 from the x value and 6 from the y value to get the new coordinates of (-3,0)

if x =
[tex]2 + \sqrt{3} [/tex]
find
[tex]x {}^{2} + 1 \div x {}^{2} [/tex]

Answers

I think it’s going to be 14
14
It’s right believe me

What is the quotient?

-4/5÷2​

Answers

Answer: -2/5
Decimal form: -0.4

Answer:

Answer = [tex]-\frac{2}{5}[/tex]

Decimal = [tex]-0.4[/tex]

Step-by-step explanation:

HELP THIS IS URGENT ​

Answers

y=3/2x -1.5

The y intercept is -1.5 and then it’s 3 up and 2 to the right from there.

у
41
34
у= |x|
24
1
2
3
4
-4 -3 -2 -1
о
-1
Domain
Range

Answers

Answer:

pkease right the question properly please

Need help, will give brainliest!!!

Answers

Answer:

A = -1

B = -1

C = 0

I guess this is the answer

the answer is a -1 b -1 c0

In a bag there are blue sweets and red sweets.
The ratio of blue sweets to red sweets is 4:9
What fraction of the sweets are blue?

Answers

Answer:

9/4

Step-by-step explanation:

9 out of 4 are blue, just flip the ratio.

Answer:

4/13

Step-by-step explanation:

A ratio can be added up to find the denominator, and using that information, you can do 4+9=13. Then in order to find the blue sweets which are the 4 part, we just need to make it numerator to get 4/13.

what is 370 by the power of 90

Answers

its a really big #

1.37453298E231

^ is ur answer

The admission fee at a small fair is $2 for children and $4.00 for adults. The Hansen family is going to the fair with 12 people and they spend $32 to get in. How many children and how many adults are in the Hansen family? x: children y: adults​

Answers

Answer:

x=8

y=4

Step-by-step explanation:

y=12-x

-2x+48=32

-2x=-16

x=8

8+y=12

y=4

What is the answer to “c+ 13–9c + 11”

Answers

Answer: -8c+24

Step-by-step explanation:

given a-2b=8, 4a+3b= 21; prove b= -1

please give a step by step answer

Answers

Answer:

Step-by-step explanation:

We can solve this with some pretty simple substitution

First write that a=2b+8

and our reasoning for this is that we added 2b from the first equation

Then write

4(2b+8)+3b=21

After we figured out what A was in the previous part we are able to substitute that into our other equation

Then you solve for b from here

8b+32+3b=21

11b=-11

b= -1

If you have any questions leave them below

Paul ate 42 out of the 68 skittles in the bag.
How would this ratio be expressed in decimal
form?

Answers

9514 1404 393

Answer:

  [tex]0.6\overline{1764705882352941}[/tex]

Step-by-step explanation:

The decimal form of a ratio is found by dividing the numerator by the denominator. You will find this reduces to the fraction 21/34, which has a 16-digit repeat when expressed as a decimal.

Using a calculator with suitable precision, you can see all of the repeating digits:

  [tex]0.6\overline{1764705882352941}[/tex]

Which expression is equivalent to 5(y + 3)?
a.15y + 5
b.5y + 15
c.15y
d.8y

Answers

Multiply the 5 over the answer is b

Answer:

B. 5y + 15

Step-by-step explanation:

first you do distributive property and do 5 * y and 5 * 3

which equals 5y + 15

Find the sides marked with letters:
m = ? z = ?

Answers

Answer:

z = 4.8

m = 5 1/3

Step-by-step explanation:

Here, we want to get and z

We use the principle of similar triangles

5/3 = 8/z

5z = 24

z = 24/5

z = 4.8

To get m;

3/m-2 = 4.8/m

3m = 4.8(m-2)

3m = 4.8m - 9.6

4.8m - 3m = 9.6

1.8m = 9.6

m = 9.6/1.8

m = 5 1/3

PLEASE HELP

An example problem for multiplying or dividing integers with a different sign.

Answers

Answer: ↓↓

Step-by-step explanation:

10 ÷ -5

The answer's -2 btw

Hope this was what you were asking

Can someone help me calculate angles? P2

Answers

Answer:85

Step-by-step explanation: In this problem you are trying to find the missing angle of a line. In a line all angles have to add up to 180 so what you wanna do first is add 55 and 40 which gives you 95. Next, you wanna subtract 95 from 180 which will give you 85. Now you know the missing angle.

plz help will give brainliest

Answers

Answer: $6,120

Step-by-step explanation:

There are 15 fruits in each basket.

The store shipped 3,825 fruits, to find the number of baskets of fruits shipped you have to divide 3,825 by 15.

3,825 ÷ 15 = 255

Each basket costs $24 so to find the cost of 255 baskets, you multiply 255 by 24.

$24 × 255 = $6,120

Leona earned $6,120 from the gift baskets sold.

Hope this helped!! :p

What is the slope of the line?

Answers

Answer:

=4/1 or 4

Step-by-step explanation:

Remember Rise/Run

also remember this formula:

y2-y1/

x2-x1

Your coordinates are: (-2, 1) (-3, -3)

-3-1/

-3-(-2) = -4/-1  or 4

Two negatives cancel out and make it a positive.

Look at attachment for further information

Any questions or concerns, please ask

Hope this helps (:

The slope is 4.
Explanation: slope is found by rise over run.

Help what is the answer






Answers

Answer:2

Step-by-step explanation: because -C>ax-b>c


Frank has x grapes.
Gabriel has two fewer grapes than Frank.
Himali has five times as many grapes as Frank.
If Gabriel has 6 grapes how many does Hamali have?

Answers

Hamali has 40 grapes

f(t)= (t-5)^2 - 9 what are the zeros of the function?

Answers

Answer:

t=8,2

Step-by-step explanation:

Hope this helps!

250
200
3. The graph at the right shows
Jeremy's distance from home each
hour he is on a car trip. How many
miles will he be from home after
10 hours?
A. 350 miles C. 500 miles
B. 400 miles D. 550 miles
Distance (mi
150
100
50
14. 200
13. 1501
12. 10011
1.50)
1 2 3 4 5 6 7
Time (hh)
3.

Answers

Answer:

For number 3 its C (sorry im doing the same thing and im stuck on the last  ones)

Step-by-step explanation:

5. Solve the system of equations
using elimination.
p-9 = 7
q= -3p + 6
A. p = 4, 9 = -6
B. p = -8, 9 = 30
c. p = -1, 9 = 9
D. No solution I



Which one is it?

Answers

A. p = 4, 9 = -6 is the answer

help would be appriciated :)​

Answers

Answer:

Any assistance you can provide would be greatly appreciated. Any help you can give would be greatly appreciated. But "assistance" is a more formal word than "help". "Provide" is also formal.

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