write the equation of a parellel to the given line that goes through the given point y=8x+3 (2,4)

Answers

Answer 1

Answer:

The equation of a parallel to the given line that goes through the given point (2, 4) is:

[tex]y=8x-12[/tex]

Step-by-step explanation:

Given the equation

[tex]y=8x+3[/tex]

comparing the equation with the slope-intercept form

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

Here,

m is the slope y is the intercept

so the slope of the line is m = 8.

We know that the slopes of parallel lines are equal.

so, the slope of the perpendicular line will be = 8

Therefore, the equation of a parallel to the given line that goes through the given point (2, 4) is:

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

[tex]y-4 = 8 (x-2)[/tex]

[tex]y-4 = 8x-16[/tex]

[tex]y = 8x-16+4[/tex]

[tex]y=8x-12[/tex]


Related Questions

An employee earns a gross pay of $1,200.00 per week. The employee's net pay is $850.00. The employee's voluntary 401(k) contribution is $50.00 per month.

Answers

Answer:

$300 was deducted from tax. The tax rate is 26.1%

Step-by-step explanation:

An employee earns a gross pay of $1,200.00 per week. The employee’s net pay is $850.00. The employee’s voluntary 401(k) contribution is $50.00 per month.

There was blank deducted for taxes. The tax rate is blank

Solution:

Contributions that are made for retirement such as 401(k) contribution plans are made on a pretax basis. This means that they are removed from your taxable income, thereby reducing the tax.

Gross pay = $1200

Taxable income = Gross pay -  401(k) contribution

Taxable income = $1200 - $50 = $1150

Net pay = $850

Tax = Taxable income - Net pay

Tax = $1150 - $850

Tax = $300

Tax rate = (Tax / taxable income) * 100%

Tax rate = ($300 / $1150) * 100% = 26.1%

jaun is saving money to buy a leather basketball cost 40.00.He already has $12 and will save 3.50 per week until he has enough money to buy the baseketball

Answers

Answer; it will take him 8 weeks to get 40$ and buy his basket ball
Explanation;
40 = 12 + (3.5)x
28 = (3.5)x
x = 8 weeks

450 is 75% of what number?

Answers

the answer is 600!!!!!

Answer:

600

Step-by-step explanation: 75 percent of 600 equals 450.

A diagram of a computer chip has a scale factor of 16:1. The chip is 24 centimeters wide on the diagram. How wide is the actual chip?

Answers

Answer:

2

Step-by-step explanation:

ok

j

what is f=483,323+947,6584-84784

Answers

Answer:

9,875,123

Step-by-step explanation:


⅜ of the animals at the zoo equals to 600. 40% of all the animals at the
zoo were fed. How many animals were still to be fed?

Answers

Answer:

960

Step-by-step explanation:

3/8*total number of animals = 600

total number of animals = 8/3 * 600 = 1600

number of animals fed = 40/100 * 1600 = 640

animals still to be fed = 1600 - 640 = 960

let me know if the question is incomplete! ill add it in the comments just in case.
question: if 0

Answers

It’s incomplete all it says is “if 0”

Given the two points(-2,1) and (-3,-3) on the graph, calculate the scope

Answers

Answer:

[tex]m=4[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-2, 1)

Point (-3, -3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute [SF]:                    [tex]m=\frac{-3-1}{-3+2}[/tex]Subtract/Add:                      [tex]m=\frac{-4}{-1}[/tex]Divide:                                  [tex]m=4[/tex]

Enter the equation of the line in slope-intercept form. Enter the answer in fraction form.

The line perpendicular to y =
6
5
x + 2 that passes through (6, −2).

The equation of the line that passes through (6, −2) is y = .

Answers

Answer:

11/2??????

Step-by-step explanation:

What is 15 / 79. SHow your work

Answers

15/79 is already in simplest form. So, as a decimal it would be 0.215189873. It is hard to do long division on here so I won’t be able to show works

Answer:

slender man has come to eat your soul

Step-by-step explanation:

Find the value of x and then find m∠H. PLEASE HELP

Answers

Answer:

Here,

6x - 1 + 5x + 17 = 126

or,11x + 16 =126

or, 11x = 110

Therefore,x=10

the value of angle h is=6x-1

=6×10-1

=59#

What are the gradients (slopes) and y-intercepts of these lines, please?​

Answers

Answer:

a. gradient 4

b. gradient 3

c. gradient 1

d. gradient 1

e. gradient -2

f. gradient 3

Step-by-step explanation:

to find y intercept substitute x to be 0

i.e y=3x

y=0

The new Play Station 5 is price at 500$. For Christmas, it is priced at 420$. What is the percent change?

Answers

16% difference!! Hope it helps

Need help pleaseeee

Answers

Cross multiply
10(x-3) = 9x
10x - 30 = 9x
-1x = -30
X = 30

Answer:

x = 30

Step-by-step explanation:

Ramon earns $1,610 each month and pays $53.40 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?

Answers

Answer:

yes 24

Step-by-step explanation:

Steph needs to help her parents put a fence around their pool. They want the fence to be square and want each side to measure 6 meters. They already have 10 meters of fencing. How many more meters of fencing should they buy? Choose 1 answer:

Answers

Answer:

14 meters

Step-by-step explanation:

Each side of the square fence = 6 meters

Perimeter of the square fence = 4 × length

= 4 × 6

= 24 meters

They already have 10 meters of fencing

How many more meters of fencing should they buy?

= Total meters - available meters

= 24 meters - 10 meters

= 14 meters

Consider the situation where 12 people at a picnic want to select an activity for the afternoon. Which activity would win a plurality election

Answers

Answer is soccer because it has more numbers in the picture

please help and show work
19) Geoff owns a computer store in 1990 he sold 2400 monitors and in 2000 he sold 4000. Let x
represent the number of years since 1990. Write a linear equation in slope intercept form that
represents this data.

Answers

Answer:

B. [tex] y = 160x + 2400 [/tex]

Step-by-step explanation:

The linear equation for that represents the above data is given in slope-intercept form as [tex] y = mx + b [/tex], where:

m = slope = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]

b = starting value = y-intercept = 2,400

Slope of the linear equation using (0, 2400) and (10, 4000):

[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4000 - 2400}{10 - 0} = \frac{1600}{10} = 160 [/tex]

Substitute m = 160, and b = 2,400 in [tex] y = mx + b [/tex].

Thus, the linear equation in slope-intercept form would be:

✅[tex] y = 160x + 2400 [/tex]

Select three ratios that are equivalent to 16:12

Answers

Answer:

4:3

8:6

32:24

Step-by-step explanation:

Well, you can change the values of both numbers and keeping the same ratio by dividing or multiplying both numbers (in this case 16 and 12) by the same number. So, first we can divide both numbers by 4 to get the ratio.... 4:3 and we could divide both numbers by 2 to get the ratio..... 8:6 and we can multiply both numbers by 2 to get the ratio....32:24

Hope this Helps!!! :)

Let me know in the comments if I should change anything or if the answer was perfect!

Which is the graph of the line represented by the ordered pairs in the table?

Answers

Answer:

bottem left

Step-by-step explanation:

Answer:

..............

Step-by-step explanation:

answer is upper right

Please help me thank you!!!

Answers

Answer:

1,-1,-3,3 that is your answer

You go ahead and substitute x for the x values given.
If x=1 , then y =1
If x=0, then y=-1.
If x=-1, then y=-3.
If x=-2, then y=-5.

All students in the 6th grade either purchased their
lunch or brought their lunch from home on Monday.
• 24% of the students purchased their lunch.
• 190 students brought their lunch from home.
How many students are in the 6th grade?

Answers

Answer:250

Step-by-step explanation:

Which of the following graphs shows the solution set for the inequality 15 – 5p ≥ 5 ?

Answers

Answer: You didn’t post the answer choices. But the solution is

p <_ 2

p is less than or equal to 2

Answer: the first graph

Step-by-step explanation:

edge 2021 ik i’m late sorry

question in picture ​

Answers

Answer:

A and B

Step-by-step explanation:

becuase that's the answer

A store has x number of shirts. Each shirt was sold for $16, but the last dozen was sold on sale for $14 each. When all shirts were sold, the store gained $616. Find the number of shirts sold at the regular price.

Answers

Answer:

28 shirts

Step-by-step explanation:

Let's see what we are given.

there are x amount of shirts ($616 total)

there are 12 in a dozen

the regular shirts are $16

the last 12 shirts are $14

Lets make an equation.

616= 14(12) + 16x

616=168+16x

448=16x

x=28

(Sorry if this explanation is bad)

what’s the answer to (7−4n)⋅6

Answers

42 - 24n
I think and I hope this helps
simplified it would be 28n*6

help me please with this the picture is below

Answers

Answer:

6

Step-by-step explanation:

A study of population of 1200 frogs revealed that 12 out of every 180 frogs in the population have spots on there back based on the results if this study how many frogs do not have spots on there back

Answers

Answer:

1176 doesn’t have spots on their back

Step-by-step explanation:

Divide

1200/180

=you’ll get about 6.66 or just round to 7

12*7=84

1200-84

1176

1176 doesn’t have spots

Good Morning! Can I get some help here? ​

Answers

Answer:

n = 3

Step-by-step explanation:

[tex]3^{5}[/tex] x [tex]3^{n}[/tex] = [tex]3^{8}[/tex]

5 + n = 8

n = 3

[tex]3^{5}[/tex] x [tex]3^{3}[/tex] = [tex]3^{8}[/tex]

there were 252 people at the concert . If 90% of the seats were filled, how many seats are in the auditorium?

Answers

Answer:

280 seats total

Step-by-step explanation:

90/100 = 252/x

To find x, cross multiply.

90x = 25,200

Divide both sides by 90 to get the variable alone.

x = 280 seats

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