A line passes through the points (–6, –7) and (–3, 1). What is its equation in slope-intercept form?

Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer 1

Answer:

y = 8/3(x) + 9

Step-by-step explanation:

The general equation of a straight line is slope intercept form is;

y = mx + b

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

To get the slope, we use the slope equation

we have this as:

m = (y2-y1)/(x2-x1)

(x1,y1) = (-6,-7)

(x2,y2) = (-3,1)

m = (1+7)/(-3 + 6) = 8/3

so we have the equation as;

y = 8/3(x) + b

to get the value of b, we make use of any of the two points

We substitute the coordinates of the two points into the equation

Let us use the point (-3,1)

Thus;

1 = 8/3(-3) + b

1 = -8 + b

b = 1 + 8

b = 9

So the full equation is;

y = 8/3(x) + 9


Related Questions

Identify the value of c in the following quadratic function f (x) = -2x^2+ 3x – 4

Answers

Answer:

-4

Step-by-step explanation:

Given function

f(x) = -2x² + 3x - 4

Comparing with ax² + bx + c We get

c = - 4

Hope it will help :)❤

A square prism and a cylinder have the same height. The area of the cross-section of the square prism is 157 square units, and the area of the cross-section of the cylinder is 50m
square units. Based on this information, which argument can be made?
The volume of the square prism is
the volume of the cylinder.
The volume of the square prism is half the volume of the cylinder.
The volume of the square prism is equal to the volume of the cylinder.
The volume of the square prism is twice the volume of the cylinder.

Answers

Answer:

The volume of the sqaure prism is eqaul to the volume of the cylinder.

Answer: B

Step-by-step explanation:

A rectangular plot of land has an area of 8/3 square miles and a length of 3/5 mile. What is the width of the plot of land? F.9/40 mi G.5/8 mi H.1 3/5 J.4 4/9

Answers

Answer:

Width = x mile = 4 4/9 mile

J.4 4/9

Step-by-step explanation:

Area of a rectangle = length × width

Area of the rectangular plot = 8/3 square miles

Length = 3/5 mile

Width = x mile

Area of a rectangle = length × width

8/3 = 3/5 * x

8/3 = 3/5x

x = 8/3 ÷ 3/5

Multiply 8/3 by the reciprocal of 3/5

x = 8/3 × 5/3

= (8*5) / (3*3)

x = 40/9

x = 4 4/9 mile

Width = x mile = 4 4/9 mile

Find x the missing side length of the triangle

Answers

Answer:

16.6

Step-by-step explanation:

a = 14

b = 9

c = x

a² + b² = c²

14² + 9² = x²

196 + 81 = x²

x² = 277

[tex]\sqrt{x^2} =\sqrt{277}[/tex]

x = 16.6

write 8/32 in lowest terms

Answers

Answer: 1/4

hope this helped :)

If you simplify you can divide 8 by 32 and get .25, which is equal to 1/4. So the answer is 1/4 !!

I'm not sure at all how to do this

Answers

Answer:

Step-by-step explanation:

Cos(Ф) = Adj / Hyp

Cos(Ф) = Adj / 5

use Pythagoras's  

[tex]5^{2}[/tex] =  [tex]2^{2}[/tex] +[tex]x^{2}[/tex]

25 - 4 = [tex]x^{2}[/tex]

21 = [tex]x^{2}[/tex]

[tex]\sqrt{21}[/tex] = x

Cos(Ф) = [tex]\sqrt{21}[/tex] / 5      

(using the square root means the answer is exact. so leave it like that.)

Find the area of the circle from the given radius.
r = 2 ft
a
6.28 ft2
b 12.56 12
c 15.27 ft?
d 8.26 ft2

Answers

The answer should be b. 12

2*3=6 true or false?

Answers

Answer:

True

Step-by-step explanation:

2 + 2 + 2 = 6

3 + 3 = 6

Answer:

If this was your question,

[tex]2 \times 3 = 6[/tex]

=> True.

If this was what you meant then,

[tex] {2}^{3} = 8[/tex]

=> False.

9. Find the area of the parallelogram with a base of 276.5 cm and a height of 20.3 cm. (1 point) O 5,612.95 cm O 11,225.9 cm O22,451.8 cm O 3.741.96 cm​

Answers

Answer:

5612.95

Step-by-step explanation:

To find the area, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply. The base and height of a parallelogram must be perpendicular.

hoped this helped.

ASAP PLZZZZZ!!!!!!!
Describe the difference between a weak Linear association and Neither Linear nor Non-Linear association.

Answers

Answer:

Scatterplots with a linear pattern have points that seem to generally fall along a line while nonlinear patterns seem to follow along some curve. ... If there is no clear pattern, then it means there is no clear association or relationship between the variables that we are studying.

Step-by-step explanation:

A grocery store collected sales data. It found that when customers buy less bread, they tend to purchase more rice. What can we conclude?

Answers

Answer:

There is a correlation between amount of bread bought and amount of rice purchased. However, there is no causation. This is because there is an increase in the amount of rice purchased with a decrease in the amount of bread bought.

Step-by-step explanation:

We see that there is a correlation between the amount of bread and the amount of rice bought .

When the bread is bought the amount of rice drops and when the amount of bread is decreased the amount of rice increases.

There is no causation meaning there is no direct affect of buying more bread or rice.Buying of rice does not directly cause the purchase of bread.

Hence there is correlation but not causation.

Correlation and causation can occur at the same time when one event causes the other.

Choose the situation in which using exact numbers is the MOST appropriate.
A)
You are trying to pay the cashier.
B)
You are trying find out how long it will take to cook a turkey.
You are trying figure out how much gasoline it will take fill your tank.
D)
You are planning a 200 mile trip and you want to include time for lunch.

Answers

Answer:

A, you need to pay with exact change

In Delta*F * G * H , the measure of angle H=90^ , the measure of angle F=24^ , and FG = 57 feet. Find the length of HF to the nearest tenth of a foot.

Answers

Answer:52.1

Step-by-step explanation:

adj/hyp= x/57

cos 24=x/57

57 cos 24=x

x=52.0721= 52.1 FT

<.< I’m dum(b) so pls answer the ones I circled

Answers

Answer:

40x-100/4

-15x+6

Step-by-step explanation:

The difference of two numbers is 22 and their is 76 find the numbers

Answers

Answer:

27

Step-by-step explanation:

a 76 le quitas la diferencia de 22 y da 54 que lo divides entre 2 y da 27 por lo que 27+27=54+22=76

Suzanne wants to put a fence around Her Square Garden. If the garden covers an area of 121m2, how many meters of fencing does she need? Please help thank you!

Answers

So, since it is square, we are going to take the square root of 121 which is 11. And since fencing goes around something, that means we have to find the perimeter. So since all four sides are the same length, we can just multiply 11 by 4 to get 44 meters of fencing

Answer:

44

Step-by-step explanation:

[tex]\sqrt121 = 11[/tex]

and there is 4 sides to a square so you multiply 11 * 4

resulting 44

What is the value of x?

Answers

Answer:

x= -2.2

Step-by-step explanation:

5x+3= -8

5x=-11

x= -2.2

Find x.
Do not round your answer.
12 cm
6 cm

Answers

Answer: 16.6

Step-by-step explanation:

b(a+b)= d(c+d)

6(12+6)=5(x+5)

6(18)=5x+25

108=5x=25

-25

83=5x

divided by 5

Equals 16.6

Whatsss the answerrrrr???????????

Answers

for what ?? u didn’t attach a question

Answer: what your question??? I don’t see your question for me to answer it.

Step-by-step explanation:

What is the area A B C or D

Answers

Answer:

         D.

Step-by-step explanation:

[tex]A=\frac{40^o}{360^o}\cdot \pi\cdot 10^2=\frac19\cdot100\pi=\frac{100}9\pi\, cm^2[/tex]

what is angle 3 is complement of angle 4 and m/4 = 47 degrees. find m angle 3??

Answers

Answer:

m= 188 and Angle 3 = 90-47 = 43

Step-by-step explanation:

Answer:

[see below]

Step-by-step explanation:

From the question given, angle 3 is a complement of angle 4, and angle 4 is 47 degrees.

Complementary angles add up to 90 degrees.

[tex]90 - 47 = 43[/tex]

Angle three should measure 43 degrees.

Hope this helps.

The scale drawing of a field in the shape of a triangle is shown below. What is the actual area, in square meters, of this feild?

Answers

Answer:

The area of the field is 70 square meters

Step-by-step explanation:

Given

See attachment for scale drawing

Required

The actual area

From the scale drawing, we have;

[tex]Base = 7[/tex]

[tex]Height = 5[/tex]

So, the area of the scale is:

[tex]Area = 0.5 * Base * Height[/tex]

[tex]Area = 0.5 * 7 * 5[/tex]

[tex]Area = 17.5[/tex] square units

Also from the attached scale,

[tex]1\ unit = 2m[/tex]

So, we have:

[tex]Area = 17.5 * (2m)^2[/tex]

[tex]Area = 17.5 * 4m^2[/tex]

[tex]Area = 70m^2[/tex]

The area of the field is 70 square meters

En 3 paquetes iguales hay 24 velitas en total. A) ¿Cuántas habrá en 19 paquetes iguales? B) ¿Cuántos paquetes iguales a estos se podrían armar con 320 velitas?

Answers

Answer:

A) En 19 paquetes habrá 152 velitas.

B) Se podrían armar 40 paquetes iguales con 320 velitas.

Step-by-step explanation:

La regla de tres simple directa consiste en una relación de cantidades con proporcionalidad directa, que se da cuando dadas dos cantidades correspondientes son magnitudes directamente proporcionales. Esto es, si al multiplicar o dividir una de ellas por un número, la otra queda multiplicada o dividida por ese número.

La regla de tres simple permite hallar un cuarto término de una proporción conociendo los otros tres.

Siendo a, b y c datos conocidos y x la incógnita, la regla de tres simple se aplica de la siguiente manera:

a ⇒ b

c ⇒ x

Entonces: [tex]x=\frac{c*b}{a}[/tex]

A) En este caso la regla de tres simple se aplica de la siguiente manera: si en 3 paquetes hay 24 velitas, en 19 paquetes ¿Cuántas velitas habrá?

3 paquetes → 24 velitas

19 paquetes → x

Entonces [tex]x=\frac{19 paquetes*24 velitas}{3 paquetes}[/tex]

x= 152 velitas

En 19 paquetes habrá 152 velitas.

B) En este caso la regla de tres simple se aplica de la siguiente manera: si hay 24 velitas en 3 paquetes, hay 320 velitas ¿Cuántos paquetes se podrán armar?

24 velitas → 3 paquetes

320 velitas → x

Entonces [tex]x=\frac{320 velitas*3 paquetes}{24 velitas}[/tex]

x= 40 paquetes

Se podrían armar 40 paquetes iguales con 320 velitas.

Find the value of x.

Answers

Answer:X=9

Step-by-step explanation:

x+18=3x

18=2x

x=9

A discipline committee is selected by placing the names or 12 teachers in a bag and than randomly drawing 3 of the names it there are 7 math teachers and 5 english teachers what is the probility that the committee will be made up of all math teachers a7/44 b7/12 c35/288 d7/288

Answers

Answer:

b

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

probability that the committee will be made up of all math teachers  = total number of maths teacher / total number of teachers

7 / 12

simplify (4x-2)+3(x+7)

Answers

Answer:

7x+19

Step-by-step explanation:

ANSWER NEEDED URGENCY HIGH​

Answers

Answer:

6 or 6 1\3 but i really think it is 6

Step-by-step explanation:


Help please!!! I’ll name you brainliest!!

Answers

Answer:

0,1,2,6,8,11,13,15,20

Step-by-step explanation:

1. Samira wants to analyze the effect of drinking alcohol on the functioning capacity of the
liver. Her two research associates will conduct two separate studies about the same
topic. Ricochet will use an experiment approach. Tituba will use an observational study
approach. Determine what will be the difference between both studies.

Answers

Where are the answer choices lol

The height of a penny t seconds after being dropped down a well is given by the product
of (10 - 3t) and (10+ 31). Find the product and simplify.

Answers

t equals 3.3333 repeating
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