What is an equation of the line that passes through the points (4, -2) and (8, 3)?​

Answers

Answer 1

First, find the slope of the two points.

y2-y1/x2-x1

3+2/8-4

slope=5/3

Then use the point slope formula to create an equation

y-y1=m(x-x1)

y-3=5/3(x-8)

y-3=5/3x-40/3

y= 5/3x - 31/3

Answer 2

The equation of the line that passes through the points (4, -2) and (8, 3) is

y = (5/4)x - 7.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Points:

(4, -2) and (8, 3)

The equation of a line is y = mx + c.

m = (3 + 2)/(8 - 4)

m = 5/4

Now,

(4, -2) = (x, y)

-2 = 5/4 x 4 + c

-2 = 5 + c

c = -2 - 5

c = -7

Thus,

The equation of a line is y = (5/4)x - 7.

Learn more about equation of a line here:

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Related Questions

The table contains a hospital's probability distribution chart of the number of babies born per day for a week. Determine the missing probability in the distribution, and then answer this question: What percentage of time should a sufficient number of nurses be on duty to care for at least seven babies?

Answers

Answer: 62.5%

Step-by-step explanation:

The probability of more than seven babies being born on any given day is (0.4375 + 0.1875+0)= 0.625. So a sufficient number of nurses to be on duty to care for at least seven babies is needed 62.5% of the time.

please please help!!!!

Answers

subject: dolphin
verb: swam
adjectives: young
prepositional phrase: i think is near

Answer: see explanation

Step-by-step explanation:

the dolphin is the subjects

Swam is the verb

Young & near adjectives

near the is the prepositional phrase

Which of the following lists of ordered pairs is a function
A (0,2) (2,3) (0,-2) (4,1)
B (2,4)(0,2)(2,-4)(5,3)
C (1,6)(2,7)(4,9)(0,5)
D (1,2)(1,-2)(3,2)(3,4)

Answers

D is the correct answer

Woodhill Elementary School’s 3rd and 4th-grade classes are planning a joint field trip. There is a total of 464 students in these two grades and only 45 seats per bus. How many buses will be needed to fit all the students? Think carefully about your answer.

Answers

Step-by-step explanation:

i say you would multiply or add

How many planes appear in the figure?​

Answers

Answer:

five planes appear in the figure

How can a diagram show you that corresponding parts of two triangles are congruent without providing specific angle measures or side lengths?

Answers

First go to google
Then look up your question
There you go

By using congruency definitions, we can show that corresponding parts of two triangles are congruent.

What is Congruent Triangles?

Congruent triangles have the same corresponding angle measures and side lengths.

Given two triangles,

We can show that corresponding parts of two triangles are congruent by showing both the triangles congruent, then by CPCT we'll get the corresponding parts of congruent triangles are congruent.

Hence, By using congruency definitions, we can show that corresponding parts of two triangles are congruent.

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What is the slope between these two points? (2,6) ( 3, 9)

Answers

Answer:

Slope of line

[tex] \frac{y2 - y1}{x2 - x1} \\ \\ = \frac{9 - 6}{3 - 2} \\ \\ = 3[/tex]

The slope of line is 3.

1) through: (-2,4), slope = 0
how you do this??

Answers

Answer:

y = 4

Step-by-step explanation:

I assume you want to find the slope-intercept form of the given information.

We are given the slope and a point, so we can find the y-intercept.

y = 0x + b

4 = 0(-2) + b

4 = 0 + b

4 = b

Put everything we know/solved for back into the formula [ y = mx + b ]

y = 4

Best of Luck!

I need help i am taking a test i need help
Mary takes a flight from Arizona to Alaska. In Arizona, the temperature is 101°F, while in Alaska, the temperature is –11°F. What is the difference between the temperatures in Arizona and Alaska?

Answers

Answer:

91 degrees

Step-by-step explanation:

Identify the form of each equation. 7x + 5y = 8 is in (select) . y − 5 = 3 (x − 9) is in (select) . y = 7x + 9 is in (select) . 8x − 9y = −2 is in

Answers

Answer:

Let's define all the possible forms:

slope-intercept: y = a*x + b

point-slope: y - y1 = a*(x - x1)   (where (x1, y1) is a point in the line)

standard form: a*x + b*y = c

then:

a) 7x + 5y = 8

This is in standard form.

b) y − 5 = 3*(x − 9)

This is in point slope form.

c) y = 7x + 9

This is in slope-intercept form.

d) 8x − 9y = −2

This is in standard form.

Use the Distributive Property to simplify each expression.
1.) 6(a - b)=
2.)t(t - 4)=
3.) 8(x + 7)=
4.) 73(9 - 6x)=

Answers

Answer:

1.) 6a - 6b

2.) 2t - 4t

3.) 8x + 56

4.) 657 + 438x

Step-by-step explanation:

1.) 6*a - 6*b

2.) t*t (2t because you're multiplying t by itself) - t*4

3.) 8*x + 8*7

4.) 73*9 - 73*6

* = times

Ex. 8 times 3 or 8*3

Find two numbers that multiply to be 12 and add up to be -8

Answers

Answer:-6 -2

Step-by-step explanation:

I NEED HELP ON THIS PLEASE

Answers

Answer:

m<5 = 120* because <5 and 120* are corresponding angles

Step-by-step explanation:

The regular price of the glove is $185. It is on sale for 15% off. Sales tax is 8%. What is the cost of the baseball glove after the discount and sales tax are applied?

Answers

Answer:

The answer is 33.3

Step-by-step explanation: I don't have time to explain

what is cos 60°? (ap3x)

Answers

Answer: 1/2

Step-by-step explanation:

Answer:

1/2 or .5

Step-by-step explanation:

cos(60) = .5

*Calculator must be in degree mode*

Proportionality math

Answers

Answer:

no bc the graph shows a slope of 12

Step-by-step explanation:

What is the approximate circumference of the circle shown below?

Answers

It’s 97.39
The equation to find the circumference is ( C=2πR )

answer plsssssssssssssss

Answers

Answer:

no solutions

Step-by-step explanation:

there are no solutions

Answer:

no solution

Step-by-step explanation:

Find the slope of the line that passes through the points (0-2) and (1.4).​

Answers

Answer:

m = 6

Step-by-step explanation:

[tex]m=\frac{rise}{run}=\frac{4+2}{1-0}=\frac{6}{1}=\boxed{6}[/tex]

Hope this helps!

Answer:

The slope is 6.

Step-by-step explanation:

Using rise over run or

[tex] \frac{rise}{run} [/tex]

you would enter 4-2/1-0 which would give you 6/1. So the answer would be 6 or m = 6.

Find the equation of this line

Answers

Answer:

y = 2x + 4

Step-by-step explanation:

The slope is 2/1 (or just 2) and the 4 is the y-intercept

Answer:

y = 2x + 4

Step-by-step explanation:

B is the y-intercept. The y-intercept of this graph is (0,4).

Rise over run, count up and to the right giving you 2/1 which equals 2.

Thus, y = 2x + 4

Helppppp is this correct or nottt

Answers

Answer:

Yes, you are correct.

Step-by-step explanation:

Have a great day!

At the grocery store grapes cost $2.55 for 2 pounds. At the farmers market grapes cost $3.55 for 3 pounds. What is the unit rate for each store? Which is ther better deal?

Answers

Answer:

farmer dude's

Step-by-step explanation:

U divide the price by the quantity. then you get unit. I did it for both n got 1.18 for farmers and 1.27 for the store's

I hope I got it right lol

At grocery store
2 pound grapes cost =$2.55
1 pound grapes cost = $1.275
At farmers market
3 pound grapes cost =$3.55
1 pound grapes cost = $1.183

So farmers market deal is the better deal.

A scale drawing of Coriane's bedroom floor is shown
below. All given dimensions are in feet, and all
intersecting line segments shown are perpendicular.
Corinne wants to completely cover the floor with
square hardwood tiles. Each tile has a side length of
I foot, and no tiles will be cut. How many tiles will
Corinne need to cover the floor?
6
9
A. 63
B. 69
C. 74
D. 79
E. 84
5

Answers

Answer:

answer is yes it does have some fun and easy way out

1.The ink made a huge _____
A.plain b.drain c.stain

2.the movie was so sad that I ____ A.tried b.cried c.pried

the moonlight____on the water
A.shone b.scone c.drone

4.she tried to ____everything into one suitcase
A.she b.gram c.cram

5.dont ____me for your mistakes.
A.flame b.blame c.shame

6.a reporter said that the____ rate is going down
A.grime b.drive c.crime

7.we saw a ____ of sheep in the meadow.
a.flock b.clock c.crock

8.some people like ____ about their good graders
A.drag b.shag c.brag

9.The acrobat did an amazing ____ on the high wire.
A.shunt b.stunt c.blunt

10.it was a _____ to meet the movie star
A.shrill b.trill c.thrill

11.there are many large stones and pebbles in that _____
A.stream b.sream c.dream​

Answers

Answer:

1. C. Stain

2. B. Cried

3. A. Shone

4. C. Cram

5. B. Blame

6. C. Crime

7. A. Flock

8. C. Brag (and it should be "Some people like TO brag about their good grades.")

9. B. Stunt

10. C. Thrill

11. A. Stream

Hope This Helps!

Answer:

c

b

a

c

b

c

a

c

b

c

a

Step-by-step explanation:

can you guys hurry pls I only have 20 more minutes

Answers

i think it’s 3? i’m sorry if that’s wrong

150 is 25% of what number? Four students solved this problem using equivalent ratios. Choose the student whose
work is correct.
Liam's work
Yasmin's work
Bill's work
Isabella's work
part
part
part
whole
part
whole
О
whole
whole
25 x 6
100 x 6
150
600
25 x 6
150 x 6
150
900
100-5
25:5
20
5
150:6
1006
25
16.67

Answers

Answer:

it is a

Step-by-step explanation:

hop this helps i would appreciate it if you mark me brainlest

Pls Help! John wants to prove ABC = to DEF. He Knoes AB = DE and AC = DF. With Screenshot

Answers

Answer:

[tex] \angle A \cong \angle D [/tex]

Step-by-step explanation:

The Side-Angle-Side method cana only be used when information given shows that an included angle which is between two sides of a ∆, as well as the two sides of the ∆ are congruent to the included side and two sides of the other ∆.

Thus, since John already knows that [tex] \overline{AB} \cong \overline{DE} [/tex] and [tex] \overline{AC} \cong \overline{DF} [/tex], therefore, an additional information showing that the angle between [tex] \overline{AB} [/tex] and [tex] \overline{DE} [/tex] in ∆ABC is congruent to the angle between [tex] \overline{AC} [/tex] and [tex] \overline{DF} [/tex] in ∆DEF.

For John to prove that ∆ABC is congruent to ∆DEF using the Side-Angle-Side method, the additional information needed would be [tex] \angle A \cong \angle D [/tex].

See attachment for the diagram that has been drawn with the necessary information needed for John to prove that ∆ABC is congruent to ∆DEF.

Find the zeros of the quadratic function

Answers

Kxkdktclycyofofyllyclcoyc

Two stores have movies to rent.

The first store charges a $20 per-month membership fee plus $1.50 per movie rented.
The second store has no membership fee but charges $3.50 per movie rented.

How many movies would you have to rent in order for the cost to be the same at both stores?

Answers

Answer: 6 movies

Step-by-step explanation:

$20+$1.50= $21.50

$3.50x6= $21

5− 1/2x=y
m= _______ b=_________

Answers

The slope is -1/2 and the y intercept is 5
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