Write, in slope intercept form, the equation of the line that passes through (8, -9) and has a slope of -5/4.

Answers

Answer 1

Answer:

The equation in the slope-intercept form will be:

[tex]y=-\frac{5}{4}x+1[/tex]

Step-by-step explanation:

Given

slope = m = -5/4point = (8, -9)

As we know that the equation of a line in point-slope form is

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

substituting the values m = -5/4 and point = (8, -9)

[tex]y-\left(-9\right)=\frac{-5}{4}\left(x-8\right)[/tex]

[tex]y+9=\frac{-5}{4}\left(x-8\right)[/tex]

Writing the equation in slope-intercept form

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

where m is the slope, and b is the y-intercept

so the equation of the line in slope-intercept form becomes

[tex]y+9=\frac{-5}{4}\left(x-8\right)[/tex]

subtract 9 from both sides

[tex]y+9-9=\frac{-5}{4}\left(x-8\right)-9[/tex]

[tex]y=-\frac{5}{4}x+1[/tex]

Therefore, the equation in the slope-intercept form will be:

[tex]y=-\frac{5}{4}x+1[/tex]


Related Questions

Please help with these two questions worth 35 points: Question 1: 6 people equally share 56 gummy worms. How many gummy worms does each person get?

A nine and one sixth gummy worms
B nine and two sixths gummy worms
C ten and one sixth gummy worms
D ten and two eighths gummy worms

Question 2: Carrie makes 27 liters of lemonade. 8 people share the lemonade equally. Which statement is true?

A Each person will receive less than 2 liters.
b Each person will receive between 2 and 3 liters.
c Each person will receive between 3 and 4 liters.
d Each person will receive more than 4 liters.

Answers

Question 1: B- 9 2/6

Question 2: C btw 3-4 liters each

Create an equation for each of the following sentences
1) The sum of a number and 12 is 16
helppp

Answers

Answer: x+12=16

Step-by-step explanation: hope this helps

PLZ HELP E!!!!!!! WILL MARK BRAINLIEST
Prove 1+sec^2xsin^2x=sec^2x

and if you can show your work

Answers

Answer:

sec

x

=

1

cos

x

and  

sin

2

x

+

cos

2

x

=

1

consider the left side

1

+

1

cos

2

x

×

sin

2

x

=

cos

2

x

cos

2

x

+

sin

2

x

cos

2

x

=

cos

2

x

+

sin

2

x

cos

2

x

=

1

cos

2

x

=

sec

2

x

=

right side

verified

Step-by-step explanation:

Hope this helps plz mark brailiest if does

Second Question of the Day:

Answers

It would take the car 18 minutes to travel 60 km.

i just need the answers, u dont need to show ur work :)

Answers

Answer:

10 units

Step-by-step explanation:

Formula to find the distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,

d = [tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

Distance between two points (0, -7) and (-6, 1) will be,

d = [tex]\sqrt{(0+6)^2+(-7-1)^2}[/tex]

  = [tex]\sqrt{36+64}[/tex]

  = [tex]\sqrt{100}[/tex]

  = 10

Therefore, distance between the given points is 10 units.

The basketball team scored 89 points in just two- and three-point basket. The number of two-point baskets was 27 more than the number of three-point baskets. How man two-point and three-pointers did the team make?

Answers

Answer:

A=85

B=58

Step-by-step explanation:

NO. OF 2 point basket⇒ A

NO. OF 3 point basket⇒B

A+B=89⇒ EQN 1

A=27+B

A-B=27⇒EQN 2

EQN 1 - EQN 2

2B=116

B=58

THEREFORE

 A=27+58

A=85

L(1,-2),N(-6,3) slope of the line

Answers

Answer:

[tex]-\frac{5}{7}[/tex]

Step-by-step explanation:

3--2/-6-1=

3+2/-7

5/-7

Answer:

5/-7

Step-by-step explanation:

y2-y1/x2-x1

3-(-2)/-6-1 = 5/-7

find the midpoint of the line segment JK if j (4,6) and k(0,-4)

Answers

Answer:

[tex](2,1)[/tex]

General Formulas and Concepts:

Order of Operations: BPEMDAS

Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Step-by-step explanation:

Step 1: Define points

J (4, 6)

K (0, -4)

Step 2: Find midpoint

Substitute:                         [tex](\frac{4+0}{2},\frac{6-4}{2})[/tex]Add/Subtract:                    [tex](\frac{4}{2},\frac{2}{2})[/tex]Divide:                               [tex](2,1)[/tex]

Oy I hate this subject I swear just a few more but still giving out brainliest and points!

Answers

Answer:

C

Step-by-step explanation:

your y values which produce the range differ between 2 and 10 which means that will be your range. All of the values are real.

Find the 66th term in the following arithmetic sequence: -92,-85,-78,-71,.......

Answers

9514 1404 393

Answer:

  363

Step-by-step explanation:

The n-th term of an arithmetic sequence is given by ...

  an = a1 +d(n -1)

Here, the first term (a1) is -92, and the common difference is (-85 -(-92)) = 7. The 66th term is ...

  a66 = -92 +7(66 -1) = -92 +455

  a66 = 363

What is the value of the expression:
2ab - b + c
When...
A= 9.84
B= 1.3
C=0.27
Will give BRAINLIEST!​

Answers

Answer:

24.554

Step-by-step explanation:

Substitute the variables for the given values

2(9.84)(1.3) - (1.3) + (0.27)

25.584 - 1.3 + 0.27

24.284 + 0.27

24.554

find the values of a,b,c

Answers

Answer:

A = 60

B = 60

C = 120

D = 60

Step-by-step explanation:

Writing the Equation of a Line in Slope-lh
Given Two Points
Try it
Write the equation of the line that passes through
the points (-1, 2) and (6, 3) in slope-intercept form,
Step 1: Choose (X1Y1).

Answers

Answer:

[tex]y=\frac{1}{7}x +\frac{15}{7}[/tex]

Step-by-step explanation:

Simplify by making mathmatical expression
9 Subtracted from 3 times the sum of 5 and 6.​

Answers

Answer:

81

Step-by-step explanation:

5 times 6 is 30 times 3 is 90 - 9 is 81

Answer: either 24 or -24

Please help and explain

Answers

Answer:

ok so they had lot of money and then they went down

Step-by-step explanation:

so i think what happen was that they started off at day 1 with 500 dollars around and then they went down to 285 and then 210 around there, so that can mean they must of wasted money on something or something else on the account

The value of y varies directly with x. If x = 4, then y = 20.

What is the value of x when y = 60?


5

7

12

44

Answers

Answer: 12

Step-by-step explanation:

Since value of y varies directly with x, we introduce a constant, k which will give:

y = kx

If x = 4, then y = 20 we then calculate the value of k.

y = kx

20 = 4k

k = 20/4

k = 5

We then find the value of x when y = 60. This will be:

y = kx

60 = 5x

x = 60/5

x = 12

The value of x is 12 when y is 60

I need help with solving this problem please!!!

Answers

Answer:

x = 128

x - 23 = 105°

Step-by-step explanation:

x - 23° = 105° because these angles are corresponding

x = 105 + 23

x = 128

The value of the angle marked x - 23 = 105

A study done by researchers at a university concluded that ​% of all student athletes in this country have been subjected to some form of hazing. The study is based on responses from athletes. What are the margin of error and​ 95% confidence interval for the​ study?

Answers

The missing digits is highlighted in bold form

A study done by researchers at a university concluded that ​70% of all student-athletes in this country have been subjected to some form of hazing. The study is based on responses from 1800 athletes. What are the margin of error and​ 95% confidence interval for the​ study?

Answer:

Step-by-step explanation:

Given that:

The sample proportion [tex]\hat p = 0.70[/tex]

The sample size n = 1800

At 95% confidence interval level:

The level of significance = 1 - 0.95 = 0.05

Critical value: [tex]Z_{0.05/2} = Z_{0.025} = 1.96[/tex]

Thus, the Margin of Error E = [tex]Z_{\alpha/2} \times \sqrt{\dfrac{\hat p ( 1- \hat p)}{n}}[/tex]

[tex]= 1.96 \times \sqrt{\dfrac{ 0.70 ( 1-0.70)}{1800}}[/tex]

[tex]= 1.96 \times \sqrt{\dfrac{ 0.70 ( 0.30)}{1800}}[/tex]

[tex]= 1.96 \times \sqrt{\dfrac{0.21}{1800}}[/tex]

[tex]= 1.96 \times \sqrt{1.16666667\times 10^{-4}}[/tex]

the Margin of Error E = 0.021

At 95% C.I for the population proportion will be:

[tex]= \hat p \pm Z_{\alpha/2} \sqrt{\dfrac{\hat p(1- \hat p)}{n}}[/tex]

= 0.70 ± 0.021

= (0.70 - 0.021, 0.70 + 0.021)

= 0.679, 0.721)

Can someone help me with homework

Answers

With what u need help

Quadrilateral ABCD is graphed on a coordinate plane with the vertices A(-9,-6), B(-4,-6), C(-3,-2), and D(-8,-2). A. Quadrilateral ABCD is translated to the left 2 units and up 6 units. Write the translation in terms of x and y using ordered pair notation. B. Determine the coordinates of the vertices of the image. Be sure to name each of the vertices of the image with the correct notation.

Answers

Answer:

translated :

A'(-11,0)

B'(-6,0)

C'(-5,4)

D'(-10,4)

Step-by-step explanation:

2.) True or False?



When working with a function, substituting a certain value of x into the formula gives only one value of y for that value of x.

Answers

Answer:

TRUE

Step-by-step explanation:

In a function, every domain value (x-value) must have exactly one corresponding range value (y-value). This means that in a function, an x-value or input value cannot have two different y-value or output value. Or else, it ceases to be a function.

So, when you substitute a certain value of x into the equation of a function, you can only have one exact value of y for that value of x.

Write an equation in slope-intercept form for the line with slope 3 and y-intercept -8 .

Answers

Answer:

y=3x-8

Step-by-step explanation:

y=mx+b

m is the slope

b is the y-intercept

What are the partial products for 52x27?

Answers

Answer:

(50*20) + (50*7)+(2*20)+(2*7)

Step-by-step explanation:

52 is 50 + 2

27 is 20 + 7

(50*20) + (50*7)+(2*20)+(2*7)

Pls help me solve 55 x 77 x 247903

Answers

Answer:

1049869205

Step-by-step explanation:

55 * 77 = 4235

4235 * 247903  = 247903

hey there, can you plz help me with my math assignment, plzzzzz

Answers

Answer:

i dont see it-

Step-by-step explanation:

Step-by-step explanation:

ok but what's the question

are these all right?? PLS HELP IM SO DUMB AHAH.

Answers

Answ

yes

Step-by-step explanation:

Answer:??

Step-by-step explanation: How do I use this app??

jarak kota a ke kota b adalah 130 km Amir berangkat dari a pukul 8.15 menuju b dengan kecepatan rata-rata 50 km per jam Amir tiba di kota b pada pukul

Answers

Answer:

10:51

Step-by-step explanation:

Given that :

Distance from A to B = 130km

Departure time = 8 : 15

Average speed = 50 km/hr

Recall :

Speed = distance / time

Time = distance / speed

Time = (130 km) ÷ (50km/hr)

Time = 130 / 50

Time = 2.6 hours = 2 hours + (0.6 * 60) = 2 hours 36 minutes

Arrival time = (8:15) + (2 hours 36 minutes) = 10:51

list 5 examples and application where geometric sequences occur in everyday life.justify your answer are geometric sequences ​

Answers

A ball bouncing is an example of a finite geometric sequence. Each time the ball bounces it's height gets cut down by half. If the ball's first height is 4 feet, the next time it bounces it's highest bounce will be at 2 feet, then 1, then 6 inches and so on, until the ball stops bouncing.

20 is 40% of what number

Answers

it depends what the number is

Answer:

50

Step-by-step explanation:

20 divided by the percent value as a decimal 0.4 is 50

What is the solution to this inequality?
14 + x < 26
O A. XS 40
O B. x2 40
O c. xs12
O D. x2 12

Answers

Answer:

C

Step-by-step explanation:

14 + x ≤ 26

~Subtract 14 to both sides

x ≤ 12

Best of Luck!

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