A line passes through point A (14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-value
that is 75% of the y-value of point A. Use point A to write an equation of the line in point-slope form.

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Answers

Answer 1

Answer:

The equation of the line in point-slope form is [tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex].

Step-by-step explanation:

According to the statement, let [tex]A(x,y) = (14,21)[/tex] and [tex]B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A})[/tex]. The equation of the line in point-slope form is defined by the following formula:

[tex]y-y_{A} = m\cdot (x-x_{A})[/tex] (1)

Where:

[tex]x_{A}[/tex], [tex]y_{A}[/tex] - Coordinates of the point A, dimensionless.

[tex]m[/tex] - Slope, dimensionless.

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

In addition, the slope of the line is defined by:

[tex]m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}[/tex] (2)

If we know that [tex]x_{A} = 14[/tex] and [tex]y_{A} = 21[/tex], then the equation of the line in point-slope form is:

[tex]x_{B} = 1.25\cdot (14)[/tex]

[tex]x_{B} = 17.5[/tex]

[tex]y_{B} = 0.75\cdot (21)[/tex]

[tex]y_{B} = 15.75[/tex]

From (2):

[tex]m = \frac{15.75-21}{17.5-14}[/tex]

[tex]m = -\frac{3}{2}[/tex]

By (1):

[tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex]

The equation of the line in point-slope form is [tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex].


Related Questions

Please help!!

Use Heron’s Area Formula to find the value of “x” in the triangle with the given measures. Area = 21.3
[A] x=7.6
[B] x=7
[C] x=8.7
[D] x =5.9

Answers

Answer:

the answer is B, x=7

Step-by-step explanation:

heron's area formula:

[tex] s = \frac{a + b + c}{2} [/tex]

[tex]area = \sqrt{s(s - a)(s - b)(s - c)} [/tex]

Identify the two rational numbers.
O A. 1.01
O B. 57
O c.
- 2 /
O D. 1.010010001...

Answers

Answer:   A. 1.01  Same as 1 1/100  fractions are rational

B. 57  Integers are rational. (Invisible implied denominator is 1)

Step-by-step explanation:  c might be, but the denominator is not specified-- or maybe / is supposed to mean square root. So probably not.

D. NO, non-repeating decimal numbers are irrational



HELP ME PLEASE ! we’ll do brainlest?

Answers

Answer:

Only the first two

Step-by-step explanation:

Plot all the points on the graph in your mind and see if the points are either in the red or on a solid colored line. That will show you whether a  specific point is a solution to a system of inequality or not.

Determine if the graph is a function or not.

Answers

Answer:

No, it is not.

Step-by-step explanation:

Functions do not result in a 90 degree corner.  Functions are 100% straight.

Solve for x
3x - 7 = 2

Answers

Answer:

x = 3

Step-by-step explanation:

Add 7 to both the seven and the two and you get 3x = 9. Next, you divide 3 by both sides and get x = 3.

1. Let x = 3
3 x 3 - 7 = 2

2. Simplify 3 x 3 to 9
9 - 7 = 2

3. Simplify 9 - 7 to 2
2 = 2

Solve l5+2xl < 17
(I couldnt find the brackets soo, yea. THANKS!)

Answers

Answer:

X<6

Step-by-step explanation:

Subtract 5 to the other side, so 2x is by itself. 2x<17-5, which is reduced to 2x<12. Divide by 2 so x is by itself. x<6.

Answer:

-11 < x < 6

Step-by-step explanation:

Which expression is equal to
-18b^-4

Answers

Answer:

[tex] - \frac{18}{ {b}^{4} } [/tex]

Step-by-step explanation:

[tex] - 18b {}^{ - 4} [/tex]

express b^-4 with a positive exponent using:

[tex]a {}^{ - n} = \frac{1}{ {a}^{n} } [/tex]

[tex] - 18 \frac{1}{ {b}^{4} } [/tex]

[tex] - \frac{18}{ {b}^{4} } [/tex]

Find the perimeter and area of the polygon with the given vertices.

W(5,−1), X(5, 6), Y(2,−1), Z(2, 6)

Answers

Answer:

Perimeter: 20, Area: 21

Step-by-step explanation:

Based on points (2,6) and (5,6) :  w = 5 - 2 = 3 Base on points (5,6) and (5,-1 ): l = 6 - (-1) = 7

Perimeter: 2 x (3 + 7) = 20 Area: 3 x 7 = 21

what is 100 x 1000 +20

Answers

Answer:

l00,020

I hope it's HELPFUL to you

PLEASE MARK me in BRAIN LIST

100020

Step-by-step explanation:

100×1000+20

=100000+20

=100020

SOMEONE PLS HELP ME PLS ITS DUE TMRW

Answers

A) 11.5x + 1 = 94
This is because 5.5x + 6x equals 11.5x and 2.5 - 1.5 = 1.

B) x = 8
11.5x + 1 = 94
-1 -1
11.5x = 93
93/11.5 = 8

C) 42.5 by 50.5
5.5(8) - 1.5 = 42.5
6(8) + 2.5 = 50.5

can someone to my last question​

Answers

Yes I will let me see

what is 140 divided by 8

Answers

Answer:

17.5

Step-by-step explanation:

Answer:

17.5 is your answer

Step-by-step explanation:

140/8

17.5

Hope this helps?

The school store sells markers for $0.25 each and pencils for 0.50 each.Anthony spent $ 5.50 to buy a total of 16 markers and pencils. How many markers did Anthony buy?

Answers

Answer:

The answer to your question is Antony bought 5 pens

Step-by-step explanation:

pens = p = $0.35

pencils = n = $0.15

total amount = 12

total money spent = $2.80

Process

1.- Write equations

              p  +  n  = 12                -------------- (l)

       0.35p  +  0.15n = 2.80      --------------(ll)

2.- Solve the system of equations by elimination

Multiply equation l by - 0.35

        - 0.35p - 0.35n = -4.2

          0.35p + 0.15 n = 2.8

             0      - 0.2n = -1.4

Solve for n

                        n = -1.4 / -0.2

                        n = 7      He bought 7 pencils

3.- Find the value of p

             p + 7 = 12

             p = 12 - 7

             p = 5                He bought 5 pens

1. Fiona Wolfe regular pay is $9 an hour and time-and-a-half for anything over 40 hours. Last week she worked 46 hours at her full-time job. She also worked 7 hours last week at a part-time job that pays $11 an hour. What total gross pay did she earn last week from both jobs?

Answers

Answer:

$518

Step-by-step explanation:

The total gross payment = full-time payment + part-time payment

Given that:

She worked 46 hours for her full-time payment and time-and-a-half for anything and she is being paid $9 per hour;

and also worked for 7 hours for her part-time payment and she is being paid $11 per hour and time-and-a-half for anything

Then, the total gross payment = $46(9 1/2) + $7(11  1/2)

The total gross payment = $46(9.5) + $7(11.5)

The total gross payment = $437 + $80.5

The total gross payment = $517.5

The total gross payment ≅ $518

Solve the following inequality:
55 – 5q > 4(7–9).

Answers

Step-by-step explanation:

55 – 5q > 4(7–9)

4(-2)

55- 5q > -8

-5q > -63

q=12.6

Wally-Mart buys bicycles for $25 and sells them for $45. What is the percent increase in the price?

Answers

Answer:

80% increase

Step-by-step explanation:

544.6 ÷ 1.75 * whats the answer?

Answers

Answer:

311.2

Step-by-step explanation:

for these kind of problems its best to put it in a calculator to get a quick and accurate answer

The answer should be 311.2

Given the graphs of y = 3x - 1 and y = -2x + 1, determine
which ordered pair is a solution to:
y < 3x - 1
y > - 2x + 1

(-4,2)
(0.4)
(4,2)
(2.-4)

Answers

Answer:

Такое тёплое место, но там, на улице,

Где ждут отпечатков наших ног,

Там сапоги сияют звёздной пылью.

Здесь пастыри и мягкое кресло,

Ослепительные сны под ярким солнечным шаром,

Курок не был нажат, когда было нужно.

Step-by-step explanation:

please answer i will give you brainiest!!!!!!!!!!!!!!!!!!

Answers

Answer:

I'm pretty sure it's A because its showing that the line starts from 1 and goes up if that makes sense.

Answer:

B

Step-by-step explanation:

x < 1 means that x is lesser than 1. A shows x is more than 1 so it is wrong. C shows x is more than -1 which is not entirely true since x could be more than -1, but not less than 1. However, the line in C stretches all the way to 8 which is more than 1 so it is wrong.  D shows that x is lesser than -1, but x could have been 0 or -1, so it is not true either.

Answer I will cashapp you!!!

Answers

Answer:

should be y= 4x + 24 let me know if it was wrong

At McCord Middle school, 40 percent of the 500 students ride their bikes or walk home. How many students ride their bikes or walk to school A. 12 B. 80 C. 200 or D. 2,000 it is not D. tho

Answers

I’m pretty sure the answer is C ( 200)

Answer:

200

Step-by-step explanation:

C

Please help this is my last question'



And if you can show the steps that would be appreciated but if not, that's okay too! I just need the answer! Please




4/5√50​

Answers

Answer:

all the questions we have to solve

Answer:

See below

Step-by-step explanation:

First question is not visible.

Second one is already answered

Third one is given below

[tex] \frac{4}{5} \sqrt{50} = \frac{4}{5} \times 5 \sqrt{2} = 4 \sqrt{2} \\ \\ [/tex]

Find the area of the parallelogram ABCD, where DC = 10cm, AD = 6cm, and angle A = 30 degrees

Answers

Answer:

6cm

Step-by-step explanation:

hope this helped

Answer:

60

Step-by-step explanation:

Only right answer please I need help

Answers

the answer is 4 !!!!!!!!

1 (2x + 3) (3x-5) 2. (3x + 5y)3 3. (3x + 5y - 2z)?​

Answers

Answer:

1)

2x(3x-5)+3(3x-5)

6x²-10x+6x-15

6x²-4x-15

if you have 12 pounds of food and you use 3/8 of that bag of food a day how long untill its all gone how many days

Answers

Answer: 0.375 bc 3 divided by 8

Step-by-step explanation:

A picture of two horses pulling a carriage to the left.

A free body diagram with 5 force vectors. The first vector is pointing downward, labeled F Subscript g Baseline = negative 14,700 N. The second vector is pointing right, labeled F Subscript f Baseline = 75 N. The third vector is pointing upward, labeled F Subscript N Baseline = 14,700 N. The fourth vector is pointing left, labeled F Subscript pi Baseline = negative 1000 N. The fifth vector starts at the tip of the fourth vector, is pointing left, labeled F Subscript p2 Baseline = 800 N. The up and down vectors are the same length. The right vector is shorter than the left vector.

Two horses, Thunder and Misty, are accelerating a wagon 1.3 m/s2. The force of friction is 75 N. Thunder is pulling with a force of 1,000 N, while Misty is pulling with a force of 800 N. The force of gravity is 14,700 N and the normal force is 14,700 N. What is the mass of the wagon? Round the answer to the nearest whole number.

Answers

Answer:

1,327

Step-by-step explanation:

Cole buys a new laptop for $335. He makes a down payment of $50 and pays the rest in 6 equal monthly payments, p. What equation represents the relationship between the cost of the laptop and Cole’s payments? Cole buys a new laptop for $335. He makes a down payment of $50 and pays the rest in 6 equal monthly payments, p. What equation represents the relationship between the cost of the laptop and Cole’s payments?

Answers

Answer:

335=47.5x+50 I believe

Step-by-step explanation:

Hello' if you can please show the steps too that would be much appreciated!




(And please don't put a random answer just for the points)​

Answers

Step-by-step explanation:

Hi! I hope this helps and have a great day.

Answer:

roots: x= 7, 4

Step-by-step explanation:

factored form: f(x) = (x-7) (x-4)

(idk if it's correct, sorry :()

Which of the following shows 2 + (x + 3y) rewritten using the Associative Property of Addition? (3 points)

Group of answer choices

A. 2 + x + 3y

B. (2 + x) + 3y

C. 2x + (3 + y)

D. x + (2 + 3y)

Answers

I think the answer is C
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