What is the equation of the line that passes through (4, -1) and (-2, 3)?

Answers

Answer 1

Answer:

3--1/-2-4=4/-6=2/-3

y=-2/3x+b

-2*-2/3=4/3

3-4/3=5/3

y=-2/3x+5/3

Step-by-step explanation:

Answer 2

Answer:

[tex]\displaystyle y=-\frac{2}{3}x+\frac{5}{3}[/tex]

Step-by-step explanation:

We want to find the equation of the line that passes through the two points:

(4, -1) and (-2, 3).

First, we will find the slope of the two points. So:

[tex]\displaystyle m=\frac{3-(-1)}{-2-4}=\frac{4}{-6}=-\frac{2}{3}[/tex]

Now, we will use the point-slope form given by:

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

Use either point. I'm going to use (4, -1). So, substitute:

[tex]\displaystyle y-(-1)=-\frac{2}{3}(x-(4))[/tex]

Simplify and distribute:

[tex]\displaystyle y+1=-\frac{2}{3}x+\frac{8}{3}[/tex]

Subtract 1 from both sides. Therefore:

[tex]\displaystyle y=-\frac{2}{3}x+\frac{5}{3}[/tex]


Related Questions



Please help thanks

Answers

Answer:

X= 62°

Step-by-step explanation:

Remember a straight line is 180°. If we were to try to find x, we would have to subtract 180 by 118. If we do that then we get 62°. And I think there corresponding angles.

BTW, I'M VERY SORRY IF MY ANSWER IS WRONG!! I HAVEN'T DONE THIS IN A YEAR!!! Use this as an example, or sum!!! Good luck.

If a gallon of milk costs $5.25 now and the price is
increasing 6% each year, how long before a gallon
of milk costs $12?

Answers

Answer: It will take approximately 21 years.

Step-by-step explanation:

6 percent of 5.25 is 0.315 (5.25 x 0.06 = 0.315)

Then you subtract 5.25 from 12 to calculate the number of years. (12 - 5.25 = 6.75)

Divide 0.315 from 6.75 (6.75 / 0.315 ≈ 21.4)

Write this ratio as a fraction in simplest form without any units
28 days to 5 weeks
You can use the table below to help convert the units.
1 minute = 60 seconds
1 hour
60 minutes
1 day = 24 hours
1 week = 7 days

Answers

5:4 or
5/4
1 1/4

You need a common unit, so convert 28 days into 4 weeks.
Now you have 5:4.

Hope that was helpful.

The ratio as a fraction will be 4 : 5 or 4/5.

The ratio given is ; 28 days to 5 weeks .

We have to find out this ratio as a fraction in the simplest form ?

What will be the value of ratio ; 2 : 4 will be ?

The value will be 1 : 2.

We have to change given ratio as a fraction in simplest form for ;

28 days to 5 weeks. To convert it in ratio we firstly need to change 5 weeks into days.

∵ No. of days in 1 week = 7 days

⇒ No. of days in 5 weeks = 7 × 5 = 35 days

The ratio as the fraction will be ;

[tex]\frac{28 days}{35 days}[/tex]

taking 7 common from both numerator and denominator.

= [tex]\frac{4}{5}[/tex]

Thus , the ratio as a fraction will be 4 : 5.

To learn more about ratio click here :-

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A company ships packages through the postal service. One week, the cost of shipping one
package was $6.70, and the company also purchased a number of stamps. This can be
modeled by the expression 6.70 + 0.50x. According to the model, what is the meaning of
0.50?

Answers

Answer:

Step-by-step explanation:

For this problem, it says that the company not only shipped packages, but also bought a number of stamps. From the equation 6.70+0.50x, it's fairly easy to say that 6.70 is the packages,

What's not so easy is figuring out whether or not 0.50 is the stamps, or x is. However, there's an easy way to figure it out!

From this one, we would have to use "common sense" (not my words, someone elses). Using "common sense", we have to think, can someone buy 0.50 of a stamp?

Technically yes... But would someone buy 0.5 of a stamp? Not really.

So we can safetly assume that x is the "stamp", and 0.50 is the cost of the stamp.

Hope this helps!

plz help tysm!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

y = x - 7

Step-by-step explanation:

Slope - intercept form: y = mx + b

2x - 2y = 14

    -2y  = -2x + 14

Divide the equation by (-2)

[tex]\frac{-2y}{-2}=\frac{-2x}{-2}+\frac{14}{-2}\\[/tex]

y =  x - 7

(BRAINLIEST IF CORRECT HURRY!)
Chris wraps presents at a local gift shop. If it takes 1.3 meters of wrapping paper per present, how many can Chris wrap if he has 50 meters of wrapping paper?

A. 37
B. 38
C. 40
D. 41

Answers

Answer:

B) 38

Step-by-step explanation:

Divide 50 by 1.3 to find how many presents Chris can wrap. It comes out to approximately 38.46, but because Chris cannot wrap 0.46 of a present, he can wrap up to 38 presents.

Write the standard form of the equation of the circle with the given characteristics. Center: (3, 9); Solution point: (−2, 21)

Answers

Given:

Center of a circle is (3,9).

Solution point is (-2,21).

To find:

The standard form of the circle.

Solution:

Radius is the distance between center (3,9) and the solution point (-2,21).

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

[tex]r=\sqrt{(-2-3)^2+(21-9)^2}[/tex]

[tex]r=\sqrt{(-5)^2+(12)^2}[/tex]

[tex]r=\sqrt{25+144}[/tex]

On further simplification, we get

[tex]r=\sqrt{169}[/tex]

[tex]r=13[/tex]

The radius of the circle is 13 units.

The standard form of a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where, (h,k) is the center and r is the radius.

Putting h=3, k=9 and r=13, we get

[tex](x-3)^2+(y-9)^2=(13)^2[/tex]

[tex](x-3)^2+(y-9)^2=169[/tex]

Therefore, the standard form of the circle is [tex](x-3)^2+(y-9)^2=169[/tex].

please help me answer this math problem

Answers

Answer:

The answer is AAS.

Step-by-step explanation:

Since you have 2 angles that are the same and 1 side which are the same or congruent.

A = E

and C=C they are vertical angles so they are the same

And the AB and ED  side are also same.

Find the difference:

Plz help giving brainly and thanks!

Answers

Answer: 9/20

Step-by-step explanation:

[tex]2 \frac{1}{4}=2.25\\\\1 \frac{4}{5}=1.8\\\\2.25-1.8=0.45=\frac{9}{20}[/tex]

What is the answer to this math problem

Answers

Answer:

14√14

decimal: 52.38 (52.38320....)


if the sides of a triangle are in the ratio 3:4:5, prove that it is
right-angled triangle​

Answers

Answer:

hope this helps

Step-by-step explanation:

Let a , b , c are three sides of a triangle

a : b : c = 3 : 4 : 5

a = 3x ,

b = 4x ,

c = 5x

a² = 9x²

b² = 16x²,

c² = 25x².

c² = a² + b²

by the pythagorean theorem,

a , b , c forms a right angled Triangle.

Answer:

yes it's a right angle triangle

Step-by-step explanation:

Given the sides are in the ratio 3:4:5.

Let ABC be the given triangle.

Let the sides be 3x,4x and hypotenuse be 5x.

According to Pythagoras theorem,

AC

2

=BC

2

+AB

2

BC

2

+AB

2

=(3x)

2

+(4x)

2

=9x

2

+16x

2

=25x

2

AC

2

=(5x)

2

=25x

2

AC

2

=BC

2

+AB

2

Hence ABC is a right angled triangle

Manu drives 50 miles each day. How many miles does he drive in five days.

Answers

Answer: Manu drives 250 miles in 5 days.

Step-by-step explanation: Manu drives 50 miles each day, and he does this in each 1 out of 5 days. 50 + 50 + 50 + 50 + 50 is 250.

Answer:

250

Step-by-step explanation:

50= 1 day

?= 5 days

multiply 50 by 5

50 by 5= 250

to make it easier multiply 5 by 5 which is 25 then add the zero from the 50 at the end to get 250

Can someone PLEASE help with this one question!?

Answers

Answer:

x^2= 25

x = 5

pls mark as brainliest

x= + or - 5
Hope that helped

15w - 4 = 41 w=___ help

Answers

15w =41+5
15w=45 divide both sides by 15
w=3

Answer:

[tex]15w - 4 = 41 \\ 15w = 41 + 4 = 45 \\ w = \frac{45}{15} \\ w = 3[/tex]

Betsy uses 8.8 of blue paint and white paint to paint her bedroom walls. 1/4 of this amount is blue paint. And th rest is white how many pints of white paint did she use to paint her bedroom walls

Answers

Answer:

6.6 pints of white paint is used to paint the bedroom walls

Step-by-step explanation:

Pints of blue paint used to paint the bedroom walls = 8.8

Ratio of blue paint used = [tex]\frac{1}{4}[/tex]

Therefore,

Ratio of white paint used = [tex]1-\frac{1}{4}=\frac{3}{4}[/tex]

Pints of white paint used to paint the bedroom walls = [tex]\frac{3}{4}(8.8)=3(2.2)=6.6[/tex]

Therefore,

6.6 pints of white paint is used to paint the bedroom walls.

The ordered pair D(0,-5) is translated 2 units left and 6 units up. Which of the following describes the translation using translation notation?

A. (x-2, y-6)
B. (x-6, y+2)
C. (x+6, y-2)
D. (x-2, y+6)

Answers

Answer:

Variant D

Step-by-step explanation:

Answer is x-2 and y+6

The translation using translation notation can be described as (x-2, y+6). The correct option is D.

What are coordinates?

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

The coordinates of a point are given as (x,y).

Now, the x-coordinate is on the horizontal axis, therefore, if the point is moving right it is going in the positive direction, while if the point is moving in the left direction it is going in the negative direction.

Similarly, the y-coordinate is on the vertical axis, therefore, if the point is moving upwards it is going in the positive direction, while if the point is moving in downwards its direction it is going in the negative direction.

Given that the coordinates are translated as 2 units left and 6 units up. Therefore, we can write,

(x,y) → (x-2, y+6)

Hence, the translation using translation notation can be described as

(x-2,y+6).

Learn more about Coordinates here:

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There are 45 students who participate in track. Of these, 18 do an event other than running. What percent of the students do an event other than running?

Answers

Answer:

27

Step-by-step explanation:

To find out how many people do something OTHER than running, you have to take the total amount of students participating and subtract the number of runners. 45 - 18 = 27.

Answer:

40%

Step-by-step explanation:

18÷45 = 0.4 × 100 = 40%

Evaluate the following algebraic expression for 2x - 2

Answers

Answer:

2(x-1)

Step-by-step explanation:

1. uncountable noun. You can use stuff to refer to things such as a substance, a collection of things, events, or ideas, or the contents of something in a general way without mentioning the thing itself by name. [informal] I'd like some coffee, and I don't object to the powdered stuff if it's all you've got.

The Suarez family paid $12.00 for 3 movie tickets. How much would they have paid for 9 tickets?

Answers

Answer:

$36 (see below)

Step-by-step explanation:

First, you have to find how much they paid for one ticket.

If they paid $12 for 3, then they paid $4 for 1.

You could've also use a ratio:

$12         $x

-------- =  --------

 3             1

Cross multiply:

$12 (1) = $3x

$12 = $3x

$4 = x

So $4 for 1 ticket.

To find the cost of 9 tickets, just multiply the price by the number of tickets, which is:

$4 (9) = $36

If a van traveled 240 miles in 4 hours how far could tha van travel in 5 hours

Answers

240/4=60 so 60x5=300. Traveled 300 miles in 5 hours
It’s 300 miles yuh yuh

Line 2 shows position data for an object that is speeding up. Use the centimeter ruler to measure the distance of each dot from dot 1, and record it in the table

Answers

Answer:

1= 0

2= 0.5

3= 1.5

4= 3

5= 5

6= 7.5

7= 10.5

8= 14

explanation: This is the edmentum answer

Answer:

1= 0

2= 0.5

3= 1.5

4= 3

5= 5

6= 7.5

7= 10.5

8= 14

Step-by-step explanation:

help me please!!!!!!!!

Answers

Answer: it would be 4/2

Step-by-step explanation:

Answer:

the slope is 4/2, which can be simplified to 2/1.

Step-by-step explanation:

to find a slope, you have to identify two points that the line goes through. for example, in this problem. the slope travels through (0,0) and (2,4). from (0,0) tp (2,4), the slope travels to the side two points and up four. in the equation y=mx+b, m would be 4/2 or 1/2 since it's the slope. hope this helps a bit!!

The length of a car measures 30 feet what is the length of a model car if the scale factor is 1:64

Answers

Answer:

5 5/8 inches

Step-by-step explanation:

Set up and solve an equation of ratios:

 x           1

------- = -------

30 ft      64

Then 64x = 30 ft, and x (the length of the model car) is 30/64 ft, or

x = 0.469 ft, or 5 5/8 inches

Thomas scored 9 points less than Jason in the basketball game. Kevin scored twice as many points as Thomas. If Kevin scored 10 points, how many points did Jason score? \

Answers

Answer:

Jason has 14 points

Step-by-step explanation:

Kevin=10 points/2x thomas points

5x2=10 Correct

Thomas= 5 points

Thomas has 9 less points than Jason \

5+9=14

Jason= 14

A village is 10km on a bearing 050° from a point O. Calculate how far the village is north of O.

Answers

Answer:

7.66 km

Step-by-step explanation:

Let distance village is ; north of O = x

Using Pythagoras rule :

Sinθ = opposite / hypotenus

Opposite = x

Hypotenus = 10

θ = 50°

Sin50 = x / 10

0.7660444 = x / 10

x = 0.7660444 * 10

x = 7.6604444

x = 7.66

Find FH.
F
640
н
G
10
Write your answer as an integer or as a decimal rounded to the nearest tenth.
FH =
Submit


Answers

Answer:

FH ≈ 4.4

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos64° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{FH}{GH}[/tex] = [tex]\frac{FH}{10}[/tex] ( multiply both sides by 10 )

10 × cos64° = FH , then

FH ≈ 4.4 ( to the nearest tenth )

Problem #2
All together, Michael and his two friends have exactly $30 to spend on lunch. Hot dogs cost $3.50 and
drinks cost $1.50. If they each get two hot dogs, how many drinks can they buy?

Answers

They can buy 6drinks

Helppp please I have a 25 in math

Answers

Answer:
Can’t see anything , everything is blury

Burger = 8.00
Fries = 2.00
Drink = 1.00
Tax = 7%
Tip = 20%
Total = _______

Answers

Answer:

$13.79

Step-by-step explanation:

$8.00+$2.00+$1.00=$11.00

7%=$0.77

$11.00+$0.77=$11.77

20%=$2.02

$11.77+42.02=$13.79

Given that a x 70 = b work out the value of
3b/a

Your final line should say, 3b/a = ...​

Answers

Answer:

[tex]\frac{3b}{a} = 210[/tex]

Step-by-step explanation:

Explanation:-

Given that  a× 70 = b

Dividing 'a' into both sides, we get

           ⇒ [tex]\frac{b}{a} = 70[/tex]

we have to find the value [tex]\frac{3b}{a}[/tex]

       [tex]\frac{3b}{a} = 3 X \frac{b}{a}[/tex]

          = 3× 70

         = 210

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