What is the y-intercept of a line that passes through the points (1-7) and (5-25)?

Answers

Answer 1

Given:

A line passes through the points (1,-7) and (5,-25).

To find:

The y-intercept of the line.

Solution:

The line passes through the points (1-7) and (5-25). So, the equation of the line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-(-7)=\dfrac{-25-(-7)}{5-1}(x-1)[/tex]

[tex]y+7=\dfrac{-25+7}{4}(x-1)[/tex]

[tex]y+7=\dfrac{-18}{4}(x-1)[/tex]

[tex]y+7=-4.5(x-1)[/tex]

Subtracting 7 from both sides, we get

[tex]y=-4.5x+4.5-7[/tex]

[tex]y=-4.5x-2.5[/tex]

Putting x=0, we get

[tex]y=-4.5(0)-2.5[/tex]

[tex]y=0-2.5[/tex]

[tex]y=-2.5[/tex]

Therefore, the y-intercept of the given line is -2.5 and the vertex form of (0,-2.5).


Related Questions

in triangle pqr the measure of r=90 rp=3.7 and pq=9.5 find the measure of <Q to the nearest tenth of a degree​

Answers

Answer:22.9

Step-by-step explanation:

Ciara has a bag of 60 colored marbles. There are purple, green, and red marbles,. She empties the bag, sorts the marbles, and counts 11 purple marbles and 20 green marbles. She wants to write a ratio of the number of purple marbles to the number of red marbles. How can she find the number of red marbles without counting them?

Answers

Answer:

[tex]Red = 29[/tex]

Step-by-step explanation:

Given

[tex]Total = 60[/tex]

[tex]Purple = 11[/tex]

[tex]Green = 20[/tex]

Required

Number of red marbles, without counting

To do this, we simply subtract the sum of the purple and red marbled from the total marbles.

So, we have:

[tex]Red = Total - (Purple + Green)[/tex]

[tex]Red = 60 - (11 + 20)[/tex]

[tex]Red = 60 - 31[/tex]

[tex]Red = 29[/tex]


What is the area of this face?
12 ft
6ft
6 ft
6 ft

Answers

Answer:

hi

Step-by-step explanation:

the area of the front face by the width. Vc= 20 cm2 x 10 cm. = 200 cm. Area = 20 cm? 2 ft. The volume of soil in the planter is 36 cubic feet. 6 ft. I draw a rectangular prism and I have a prism with the dimensions of 8 in by 12 in by 20 in.

hope this helps

How much tax will be added to a total bill of $27.36 if the tax rate is 8.1%














please help!!!!!!!asap :(

Answers

Answer:

2.21616

Step-by-step explanation:

multiply te tax rate wit te total bill

Molly and George earned 352 points together. Molly has half the number of points as
George. Which equation could represent this situation? Let g represent the number of
points George earned.

Answers

Answer:

Assume G = George

I can use the problem to find that:

G + 1/2G = 352

Given f(x) = -3x + 1 and g(x) = 4*, find the following combinations:
g(x)-f(x)
g(x) •f(x)
f(x)
8(x)

Answers

Step-by-step explanation:

Please refer to the attachment

MY
2B =
Cou
Round your answer to the nearest hundredth.
SA
A
MY
Pro
9
Pro
Tea
B
5

Answers

Answer:

<B = 56.25°

Step-by-step explanation:

Reference angle = B

Hypotenuse = AB = 9

Adjacent = BC = 5

Applying trigonometric ratio:

[tex] cos (B) = \frac{adj}{hyp} [/tex]

[tex] cos (B) = \frac{5}{9} [/tex]

[tex] B = cos^{-1}(\frac{5}{9}) [/tex]

B = 56.25° (nearest hundredth)

5.
In rhombus QRST diagonals RT and QS are drawn. If m then which of the following is the measure of a 76
b 90
C 38
d 48

HELP ME PLEASE !!! thank you

Answers

Answer:

<STR = 38degrees

Step-by-step explanation:

Find the diagram attached

Complete Question:

In Rhombus QRST, diagonals RT and QS are drawn. If m<TSR = 104°, then which of the following is the measure of <SRT?

Sicne triangle STR is isosceles, hence the base angles are equal. Let the base angles be y

y+y+104 = 180

2y = 180-104

2y = 76

y = 38degrees

Since <STR = y, hence the measure of <STR = 38degrees

which alphabet is missing Y E W G U I​

Answers

Answer:

Almost all the letters are missing, 20 letters are missing

Step-by-step explanation:

A B C D F H I J K M N O P Q R S T V X Z

The missing alphabet between Y and W= X

The missing alphabet between W and U= V

The missing alphabet between E and G=F

The missing alphabet between G and I=H

What is alphabet?

An alphabet is a standardized set of basic written symbols or graphemes that represent the phonemes of certain spoken languages.

According to question, we have to find which alphabet is missing Y E W G U I​.

If we  find missing alphabet between bold alphabet  Y E W G U I​,

we get the following

The missing alphabet between Y and W= X

The missing alphabet between W and U= V

If we  find missing alphabet between bold alphabet Y E W G U I​,

we get the following

The missing alphabet between E and G=F

The missing alphabet between G and I=H

Hence , we can conclude that

The missing alphabet between Y and W= X

The missing alphabet between W and U= V

The missing  alphabet between E and G=F

The missing  alphabet between G and I=H

Learn more about  alphabet here:

https://brainly.com/question/14923144?referrer=searchResults

#SPJ2

Megan bought 50 beads for a coast of $9.95. sakes tax on the beads was 6%. how much did she pay for the beads total?​

Answers

Answer:

$10.52

Step-by-step explanation:

First, 9.95 × .06 = 0.6

Then you add 9.95 + 0.6

So the answer is $10.55

Doña Mago compró 3 kg de chile verde y 11 dólares de tomate en una tienda, en otra tienda compro 2 kg de chile verde y $ 24 dólares de cebolla.Si en cada tienda pago la misma cantidad de dinero y el precio de cada kg de chile verde fue el mismo en ambas tiendas cuanto costó el kg de chile ?

Answers

Answer:

NOSE BRO TU DIME JAJAAJAJAJAJAJAJAJAJAJAJAJAJAJAAJAJA XXDXDDDXXDDZXXDDDXXDDDXZDDXXDDDXXZDD$XXXXDDDDDDD

What is 23x56÷67-68?
Hurry plz
Me give brainliest
Thanks in advance

Answers

Answer:

-48.4328358209

Step-by-step explanation:

hope this helps!!!

Answer:

If you meant 68-67 then it would be 1288

But if you meant 67-68 it is -1288

(I really hope this isn't hard to understand).

Quizziz 9th grade help please please

Answers

Answer:

(x-4)(x-12)

Step-by-step explanation:

If you need help factoring lmk i can help ya :)

Rearrange the equation so q is the independent variable 9q - 4 = 3r - 6

Answers

3r = 9q - 4 + 6

r = (9q + 2)/3

Answer: r = (9q + 2)/3

Answer:

q = [tex]\frac{3}{9}[/tex]r -[tex]\frac{2}{9}[/tex]

Step-by-step explanation:

9q - 4 = 3r - 6

+4 on both sides

9q = 3r - 2

Divide both sides by 9

q = [tex]\frac{3}{9}[/tex]r -[tex]\frac{2}{9}[/tex]

How far up the tree is the cat ?

Answers

I wanna say 36 feet times the 5 times the 12

60d+65n=2800
50d+45n=2150

Answers

From the second equation we can find that d=43-(9/10)*n
we can put this equation into the first one,
So we have equation 60(43-(9/10)*n)+65n=2800
Solving that we get n=20
60d+65*20=2800
d=25

So the answer is d=25 and n=20


The salaries of 4 players on a professional basketball
team average $200,000 per year. If a fifth player is hired
for $400,000 per year, what will be the average salary
for the 5 players?

Answers

If salary average of 4 players is making $200,000/yr, what's the total payroll?  It should be $200K x 4 or $800,000.

Now if you add in that 5th player at $400,000 what is the total payroll of all 5 players?  It should be $800,000 + $400,000 = 1,200,000.  From there you can find the average of the 5 players by dividing!

Be an angel and halp mi pls

Answers

Answer:

The mean of the scores at the bowling game is D. 210

Hope this helped! :)

Answer:

Step-by-step explanation:

The mean is just the sum of terms divided by the number of terms.

m=(180+200+210+220+240)/5

m=210

3. Aşağıda verilen çıkarma işleminde bazı rakamların yerine semboller kullanılmıştır.
4 318
3 2*
4 1 A6
Buna göre, bu sembollerin yerine yazılması gereken rakamlar için (1+A)** işlemi-
nin sonucu kaçtır?
A) 28
B) 30
C) 55
D) 63
g
ANK-0502​

Answers

Answer:

thr answers are A and D of the question

Which of the following combinations of side lengths will form a triangle with vertices X, Y, and Z?
A. XY = 19 mm, YZ = 11 mm, XZ = 29 mm
В. XY = 19 mm, YZ = 11 mm, XZ = 31 mm
C. XY = 19 mm, YZ = 10 mm, XZ = 30 mm
D. XY = 20 mm, YZ = 11 mm, XZ = 32 mm

Answers

It should be C I’m not 100% shor tho

Please help ........

Answers

Answer:7.5

Step-by-step explanation: because of its size and diamiter its 7.5

What is the are a square with a side length of 3x + 4.

Answers

A=side^2
A=3x+4^2
A=3x+4•4
A=3x+16

What are the solutions to (x+7)2 = 81?


A. -74 and 88

B. -2 and 16

C. -88 and 74

D. -16 and 2

Answers

Answer:

D

Step-by-step explanation:

x+7 =√81: x=s

x+7=-√81: x=-16

what is this equation simplafied? 2(n+7)+8

Answers

Answer:

2n+22

Step-by-step explanation:

Pls help me fasttt I’ll give brainliest!!

Answers

Answer

Look at this

Step-by-step explanation:

National pride is patriotism

Fill in the blanks to make a true statement.

(2+___i) + (___+3i) = 6 + 8i

Answers

Answer:

(2+  5i) + (4 + 3i) = 6 + 8i

Step-by-step explanation:

2 + xi  + y + 3i = 6 + 8i

(2 + y) + xi + 3i = 6 +8i

(2 + y) + (x + 3)i = 6 + 8i

Compare real numbers

2 + y = 6

     y = 6 - 2

    y = 4

Compare imaginary numbers

x + 3 = 8

     x = 8 - 3

    x = 5


What is the coordinate plane made up of two intersectioing lines

Answers

It is D - the origin

What are the coordinates of R'?
OR'(4-1)
OR'(-4,1)
OR (1.4)
OR'(-1,-4)

Answers

Answer:

OR' (-4,1)

Step-by-step explanation:

Answer is OR' (-4,1)

Hope it helps!

Please mark as brainliest and thanks!

Byeee!

Pls help 7th grade math

Answers

Answer:

Lucy, Jenny, Dan, Terry

Step-by-step explanation:

Find the surface area of the square pyramid shown below.

Answers

Answer:

12

Step-by-step explanation:

6+6=12

3x4=12

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