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

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.

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!

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

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

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

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

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

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

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 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

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.

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

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

what is the horizontal line called

Answers

Answer:

Abscissa

Step-by-step explanation:

I didn’t know how to spell Abscissa at first

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

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

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]

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

I will post the other reasons rn

Answers

Answer:

yeah i gotta see the others

Step-by-step explanation:

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:

.

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

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

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

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:

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.

(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

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

Answers

Answer:

y=6x+18 i think

Step-by-step explanation:

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

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

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

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