Find the equation of the line that passes through points A and B.
y
X A (4, 7)
B (2, 3)

Answers

Answer 1

Answer:

y = 2x - 1.

Step-by-step explanation:

The slope = (7-3)/(4-2)

= 4/2

= 2.

y - y1 = m(x - x1)

Here m = 2 , x1 = 2 and y1 = 3. So we have:

y - 3 = 2(x - 2)

y = 2x - 4 + 3

y = 2x - 1.

We have used the point (2, 3) to find the equation but we could have used (4, 7). We would have got the same answer.

Answer 2

Answer:

y - 3 = 2(x - 2)

Step-by-step explanation:

As we move from Point B (2, 3) to Point A (4, 7), we see x increasing by 2 from 2 to 4 and y increasing by 4 from 3 to 7.  Hence the rise is 4 and the run is 2, which means that the slope of this line is m = rise / run = 4/2 = 2.

Using the point-slope formula y - k = m(x - h) and the point (2, 3), we get:

y - 3 = 2(x - 2)


Related Questions

What is the y-intercept for the line at the right? _________ .What is the slope of the line? __________ .Write the equation of the line in slope-y intercept form.

Answers

Y intercept is when x = 0
Look on the graph
Y intercept: (0, -1)

Slope: you can use rise/run by drawing a triangle. Rise = 4, rise = 2
4/2 = 2
The slope is 2

Equation formula : y = mx = b
m = slope, b = y intercept
Given the rest of the information already, plug the values in

Equation: y = 2x - 1

Katy planted of the field with wheat and of
the field with potatoes. How much of the field
did she plant?

Answers

[tex]katy \: planted \: \frac{65}{72} of \: the \: field[/tex]

may this helps you

bye

(5 x 10^6) x (6 x 10^8)
give answer in standard form.
(answer = 13 points)

Answers

Answer:

3 x 10^15

Step-by-step explanation:

5 x 10^6 x 6 x 10^8

30 x 10^14

3 x 10 x 10^14

3 x 10^15

(5 × 6) × (10 ^ 8 + 6) = 30 × 10 ^ 14

You have a box with 5 blue marbles, 4 red marbles, and 9 yellow marbles. You are going to pull out one marble, record its color, put it back in the box and draw another marble. What is the probability of pulling out a blue marble followed by a yellow marble?

Answers

Answer:

I think it's 45/196.

Step-by-step explanation:

Not sure though, no explanation.

The probability of pulling out a blue marble followed by a yellow marble 25% or 0.25 .

What is probability ?

Probability is the branch of mathematics that studies the possible outcomes of given events together with the outcomes' relative likelihoods and distributions.

Based on the given conditions, formulate 9 ×9÷((9 + 5 + 4) ×(9 +5 +4))

Calculate the product or quotient = [tex]\frac{81}{(9 +5 + 4) * (9 + 5 + 4)}[/tex]

Calculate the sum or difference=  [tex]\frac{81}{(14 + 4) * (9 +5+4)}[/tex]

Calculate the sum or difference = [tex]\frac{81}{18 * (9+5+4)}[/tex]

                                                     = [tex]\frac{81}{18 * (14 + 4)}[/tex]

                                                     =[tex]\frac{81}{18 * 18}[/tex]

Calculate the product or quotient = [tex]\frac{81}{324}[/tex]

Cross out the common factor = [tex]\frac{1}{4}[/tex]

              get the result 25% or 0.25

Therefore, The probability of pulling out a blue marble followed by a yellow marble 25% or 0.25 .

Learn more about probability  brainly.com/question/743546

#SPJ2

The hypotenuse of a right triangle is 75 m. One of the legs measures 45 m. What is the length of the missing leg?

Answers

Answer:

60 m

Step-by-step explanation:

A^2+b^2=c^2

a^2+45^2=75^2

a^2+2025=5625

a^2=3600

a=60

Find the area of the triangle

A. 12 Square units
B. 5.5 square units
C. 24 Square units
D. 11 Square units

Answers

Answer:

A.  12 sq. units.

Step-by-step explanation:

Area of the triangle = 1/2 * base * height

= 1/2 * 6 * 4

= 12.

10 pnts for whoever gets one right 10 pnts and brainliest for whoever gets them bothe right

Answers

Answer:

1) $15 more

2) Formula: 1/2 (2+5) 10

Area: 35

Step-by-step explanation:

1) 30-15=15

2) 1/2 (2+5) 10 = 35

giving brainliest! help me pls

Answers

Answer:

4 feet

Step-by-step explanation:

1 Yard = 3 feet

3 ft. + 1 ft. = 4 ft.

The answer is 4 ft.
1 yard = 3 ft, plus 1 ft, you get 4ft

plz help i have been asking thus asking this question for too long

Answers

Answer:

1/12

Step-by-step explanation:

1/6 x 1/2 = 1/12

The answer would be 1/6 IF you took 1/6 of the full sheet of paper, but if you are taking 1/6th of half of the paper, then you are taking half the amount. Basically, you would need two 1/6 pieces of one half to be equivalent to one 1/6th piece on the full sheet.

I'm really sorry if my explanation sounds really confusing

Tran checked the time on his watch after he finished his daily run select the time that Tran finished running mark all that apply

Answers

Answer:

(a) and (b) are correct

Step-by-step explanation:

Given

See attachment for complete question

Required

Select the correct options

A clock is divided into two equal parts.

(1) 1 - 6

(2) 7 - 12

When the hour hand is on (1), then the time is "after"

When the hour hand is on (2), then the time is "before"

From the attached clock, we have:

(1) The hour hand on 9

(2) The minute hand 1 unit above 9 i.e. 46 minutes

(1) implies that, the time is before 9 i.e. past 8

(2) implies that the minutes is (60 - 46) before 9 or 46 minutes after 8

In (1) and (2) above, we have two interpretations.

1: (60 - 46) minutes before 9

This gives:

14 minutes before 9

2: 46 minutes past 8

i.e. 8 : 46

Answer the question in the picture?

Answers

Answer:

19

Step-by-step explanation:

we know the sides of a rhombus is all equal, so:

4(2x+4)=168

8x+16=168

8x=152

x=19

The perimeter of a chalkboard is 14 feet. The board is 4 feet long. How tall is it?
feet

Answers

Answer:

3 feet

Step-by-step explanation:

P=2(a+b)

14=2(4+b)

14=8+2b

2b=6

b=3

Answer:

3 feet tall

Step-by-step explanation:

14-4-4=6 divided by 2=3 feet tall on two side

What is the area of the trapezoid?
A) 176 cm^2
B)192 cm^2
C)208 cm^2
D)224 cm^2

Answers

Answer:

a

Step-by-step explanation:

.

solve for the x value of the x intercept of the line 5x-y=-5

Answers

x intercept: (1,0)
y intercept: (0,-5)
hope this helped

Jade has tax deducted from her income at the rate of 24%.
Last month, after tax had been deducted, $1786 of her income remained.
Calculate her income last month before the tax was deducted.​

Answers

Answer:

$2350

Step-by-step explanation:

Let Jade's total income be X

Therefore,the tax deducted was 24%x

Forming an equation:

X= 24%x + 1786

X = 0.24x + 1786

Collecting like terms

x - 0.24x = 1786

0.76x =1786

x= 1786 ÷0.76

X= $2350

Carolina is mowing the lawn for a summer job. For each cutting job, she charges an initial fee of $ 8 plus $ 6 for each hour of work. 1-Write an equation (in the form y = mx + b) to represent this problem. 2-If Carolina is paid a total of $ 32, how many hours did she work?

Answers

Answer:

F(t) = 8 + 6(t)

Step-by-step explanation:

6*4 = 24

32-24 = 8

so her initial fee is $8

so function is:

F(t) = 8 + 6(t)

Answer:

1. y = 6x + 8

2. 4 hours.

Step-by-step explanation:

x is each hour of work.

y is the total that Carolina is paid.

y = mx + b

32 = 6(x) + 8

Subtract 8 from both sides.

6x = 32 - 8

6x = 24

Divide both sides by 6.

x = 4

Carolina is works 4 hours to be paid 32.

A 16-cup container of laundry detergent costs $13.60. What is the price per quart?

Answers

Answer:

$0.21

Step-by-step explanation:

So, first let's find the cost of a single cup.

16/13.60 = 1/0.85

Now, we know that each cup is approximately $0.85. Next, we must convert cups into quarts. 1 cup = 0.25 quarts.

1/0.85 = 0.25/0.21

pls help! :) only put correct answer ty!!

Answers

Answer:

y=6x+18 i think

Step-by-step explanation:

PLSS HELP IMMEDIATELY!!!! ILL MARK BRAINIEST IF U DONT LEAVE A LINK OR GUESS!!!

Answers

Answer:

24 cm³

Step-by-step explanation:

2 × 3 × 4 = 24


24 cubic centimeters

PROBABILITY QUESTION (Data) please help

4 cards are taken out of a standard deck (52 cards). What is the probability that the 4th card is a red face card, or a jack given that the jack of diamonds is the first card selected, the queen of hearts is the second card selected, and the third card is the 3 of diamonds?

Answers

Answer:

3/49

Step-by-step explanation:

We need to subratact 1 from numerator (as the queen is a red faced card) and 3 from the demonitor as all of them are red cards

answer for brainilest and 30 points

Answers

Answer:

V = 1020.5 yd³

Step-by-step explanation:

The volume (V) of a cylinder is calculated as

V = πr²h( r is the radius and h the height )

Here r = 5 and h = 13 , then

V = π × 5² × 13

   = 3.14 × 25 × 13

   = 1020.5 yd³

Find the equation of the circle with a center at (2,-1) and a radius of square root of 12

Answers

Answer:

[tex]x^{2}[/tex]+ [tex]y^{2}[/tex] -4x+2y-7=0

Step-by-step explanation:

Given that, center at (2,-1)

let a = 2, b = -1

radius, r = [tex]\sqrt{12}[/tex]

As we know the equation circle is, [tex](x-a) ^{2}[/tex]+[tex](y-b) ^{2}[/tex] = [tex]r^{2}[/tex] when radius and center point is given.

By this formula , we can get,

[tex](x-2) ^{2}[/tex]+[tex](y-(-1)) ^{2}[/tex] = [tex]\sqrt{12} ^{2}[/tex]

[tex]x^{2}[/tex] -4x +4 + [tex]y^{2}[/tex] + 2y + 1 = 12

[tex]x^{2}[/tex]+ [tex]y^{2}[/tex] -4x+2y-7=0

This is the answer.

Please help me please I really need help please help me

Answers

You just have to reflect it over the blue line, so if one point is 2 squares from the blue line then you will make it 2 squares away on the other side of the blue line. The y point will stay the same so they will be the same height

Answer:

See attached

Step-by-step explanation:

See reflected image in the attached picture

what is the horizontal line called

Answers

Answer:

Abscissa

Step-by-step explanation:

I didn’t know how to spell Abscissa at first

HELP I WILL GIVE BRAINIEST

Answers

Answer:

sorry I can only answer no.3

[tex]4x - 2 = 180 \\ 4x = 180 + 2 \\ 4x + 3x = 182 \\ \frac{7x}{7} = \frac{182}{7} \\ x = 26[/tex]

I will post the other reasons rn

Answers

Answer:

yeah i gotta see the others

Step-by-step explanation:

Find the gradient of the line segment between the points (-2,7) and (1,5).
Give your answer in its simplest form.

Answers

The answer is -2/3, hope this helps!

Find the area. Round to the nearest tenth.

Answers

Answer:

729 square yards

Step-by-step explanation:

Area = l x w

Area = 27 x 27

Area = 729 square yards

Hope that helps! :)

-Aphrodite

Answer:

It’s 729

Step-by-step explanation:

David has $520 to spend at a bicycle store for some new gear and biking outfits.
Assume all prices listed include tax.
• He buys a new bicycle for $303.93.
• He buys 4 bicycle reflectors for $10.99 each and a pair of bike gloves for $25.25.
• He plans to spend some or all of the money he has left to buy new biking outfits
for $73.43 each.
Write and solve an inequality which can be used to determine x, the number of
outfits David can purchase while staying within his budget.

Answers

Step-by-step explanation:

after he buys everything he has 170.83 ( total 340.17) 73.43 times x

8x−2=−11+7x +2
Please help me!!

Answers

Answer:

x=-7

Step-by-step explanation:

8x - 2 = -11 + 7x + 2

First, separate the terms: move x to one side

subtract 7x from both sides

8x -7x - 2 = -11 + 7x -7x + 2

x - 2 = -11 + 2

Now get x by itself by adding 2 to both sides

x - 2 +2 = -11 + 2 +2

x = -11 + 4

simplify

x = -7

you're welcome

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