Write the equation of the line that passes through the points (0,7) and (-4, -9).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Answer 1

y=4x+7

First we need to figure out the slope. We can do that using the equation (y2-y1)/(x2-x1). Substitute your numbers in for the xs and ys:

(-9-7)/(-4-0)=

-16/-4=

4

Now that we have the slope, we can figure out the intercept by using the equation y=mx+b and substituting one of the points in for x and y, the slope in for m, and solving for b.

I’m going to use (0,7) as it will be faster:

7=4(0)+b

7=0+b

7=b

The full equation will then be:

y=4x+7


Related Questions

2. 1. Asia's new boat has a cruising speed of 27 miles per hour. At that rate, how long will it take her to travel the 3 miles across Old Hickory Lake?​

Answers

Answer:Time = 1/9 Hours  0r  0.11111 hours

Step-by-step explanation:

We Know that Speed = Distance / Tim\e

Using the constant rate of the speed given as 27 miles per hour at

Distance = 3miles

Time = Distance  / Speed

Time = 3 miles / 27miles per hour = 1/9 hours

2x = 3y + 2
y = -x +6

Answers

Answer:

x=4 and y=2

Step-by-step explanation:

2x=3(-x+6) +2

2x= -3x+18 +2

2x= -3x+20

5x=20

x=4

y=-(4) +6

y=2

What is the length of the line?
Choose 1 answer:

Answers

Answer:

we can't see a photo what you see

Step-by-step explanation:

Where is the picture?

A vehicle travels 180 miles in 4 hours. At this rate, how many miles will the vehicle travel in 6 hours?

Answers

Answer:

270 miles

Step-by-step explanation:

Divide 180/4 = 45

45 * 2 = 90

180 + 90 = 270

A vehicle can travel 180 miles in 4 hours, then in 6 hours, the vehicle will travel 270 miles.

What is an arithmetic operation?

The four fundamental operations of arithmetic are addition, subtracting, multiplying, and dividing two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

As per the data given in the question,

Distance travelled by the vehicle = 180 miles

Time is taken to travel 180 miles = 4 hours

Distance travelled in 1 hour = 180/4 = 45 miles

Then,

Distance travelled in 6 hours = 6 × 45 = 270 miles.

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When looking at a graphed System of Equations,
how do you determine which line is the better
deal?

Answers

Answer:

Step-by-step explanation:

So, if we are looking to save money, then it would probably be a good choice to go for the least steepest line. Assuming Money stands for the Y axis and Quantity stands for the X axis, then looking at the least steepest line means the lowest Y axis, which translates to the least amount of money.

50 POINTS !!!!!!!!
Which terms can be combined in the expression below? Select three options.

StartFraction 5 over 6 EndFraction a minus 2 b minus 16.3 + StartFraction b over 12 EndFraction + c minus 0.9 b
StartFraction 5 over 6 EndFraction a
–2b
–16.3
StartFraction b over 12 EndFraction
–0.9b

Answers

Answer:

-2b,  b/12,  -0.9b

Step-by-step explanation:

I understand this is late, but hopefully, it'll help someone who needs it, have a good day

Answer:

A Is your answer.

Step-by-step explanation:

24-79/12-2

Fully factorise 20x + 16.
.
2
-2

2
TT
0
Enter your answer

Answers

Answer:

4(5x+4) is the answer

Step-by-step explanation:

..............

write an equation of the line in slope-intercept form slope 1 and y intercept -8

Answers

I got 41

Step-by-step explanation:

Symbolab is helpful

You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2015?

Answers

Answer:

$112,500

Step-by-step explanation:

HIII! Find Sin D and sin E! Write the answer as a fraction and as a decimal. Round to four decimal places, if necessary! Please help me!

Answers

Answer:

[tex]\displaystyle \sin(D)=\frac{28}{53}\approx0.5283[/tex]

[tex]\displaystyle \sin(E)=\frac{45}{53}\approx0.8491[/tex]

Step-by-step explanation:

Remember that sine is the ratio of the opposite side to its hypotenuse:

[tex]\displaystyle \sin(x^\circ)=\frac{\text{Opposite}}{\text{Hypotenuse}}[/tex]

For D, the opposite side to D is 28, and the hypotenuse is 53. Therefore:

[tex]\displaystyle \sin(D)=\frac{28}{53}[/tex]

Or, in decimal form:

[tex]\sin(D)\approx 0.5283[/tex]

Likewise, the side opposite to E is 45, and the hypotenuse is 53. Therefore:

[tex]\displaystyle \sin(E)=\frac{45}{53}[/tex]

And using a calculator:

[tex]\sin(E)\approx0.8491[/tex]

7x+1/2(x+1/4)=3(6x-9)-8

Answers

Answer:

x = 381/24 = 3 29/84

Step-by-step explanation:

7x + 1/2(x + 1/4) = 3(6x - 9) - 8

Use the distributive property to multiply 1/2 by x + 1/4.

7x + 1/2x + 1/8 = 3(6x - 9) - 8

Combine 7x (14/2x) and 1/2x to get 15/2.

15/2x + 1/8 = 3(6x - 9) - 8

Use the distributive property to multiply 3 by 6x - 9.

15/2x + 1/8 = 18x - 27 - 8

Subtract 8 from -27 to get -35.

15/2x + 1/8 = 18x - 35

Subtract 18x from both sides.

-21/2x + 1/8 = -35

Subtract 1/8 from both sides.

-21/2x = -35 - 1/8

-35 is the same as -280/8.

-21/2x = (-280 - 1)/8

Subtract 1 from -280 to get -281.

-21/2x = -281/8

Multiply both sides by -2/21 (reciprocal of -21/2).

x = (-281 * -2)/(8 * 21)

You can cross cancel -2 and 8 by extracting 2 (they become -1 and 4 respectively).

x = (-281 * -1)/(4 * 21)

Multiply -281 by -1 to get 281.

x = 281/(4 * 21)

Multiply 4 by 21 to get 84.

x = 281/84

Can this fraction be simplified into a mixed number? Yes it can. It becomes 3 29/84. (252 (3 * 84) + 29 = 281)

x = 3 29/84

Work check: x is substituted for 281/84 (convenience)

7 * 281/84 + 1/2(281/84 + 1/4) = 3((6 * 281)/84 - 9) - 8

1967/84 + 1/2(281/84 + 1/4) = 3((6 * 281)/84 - 9) - 8

1967/84 + 1/2(302/84) = 3((6 * 281)/84 - 9) - 8

(1967 + 151)/84 = 3((6 * 281)/84 - 9) - 8

2118/84 = 3(1686/84 - 9) - 8

2118/84 = 3((1686 - 756)/84) - 8

2118/84 = 3(930/84) - 8

2118/84 = 2790/84 - 672/84

2118/84 = (2790 - 672)/84

2118/84 = 2118/84

So x = 3 29/84 is correct.

A temperature in degrees Fahrenheit is shown in expanded notation. ( 9 × 10 ) + ( 4 × 0.1 ) How is this temperature in degrees Fahrenheit written a numeral?

Answers

Answer:

90.4 degrees.

Step-by-step explanation:

(9 x 10) + (4 x 0.1)

= 90 + 0.4

= 90.4.

The Temperature in Fahrenheit  is 90.4 F.

What is Expanded form?

The division of numbers into groups according to place value, such as ones, tens, hundreds, thousands, ten thousand, and so forth, results in the expanded form of the number. The expanded version of the number is the one that is represented by the sum of each digit times its place value.

Given:

Expanded notation. ( 9 × 10 ) + ( 4 × 0.1 )

Now, simplifying the expression

= (9 x 10) + (4 x 0.1)

= 90 + 0.4

= 90.4.

Hence, the Temperature in Fahrenheit  is 90.4 F.

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YeS mOrE 9Th GrAdE mAtH (question for smart people)

Answers

Answer:

A. 4x+13

Step-by-step explanation:

distribute the 4

(4x+20) -7

4x+13

Answer:

A

Step-by-step explanation:

A dragon can fly 50 feet in 2. Second. About how far can adragon fly in 11 secs

Answers

Answer:

275

Step-by-step explanation:

PLS HELP I DONT UNDERSTAND MATH

Answers

1. no

2. No ecause 15 +x or 5  is 20 + the x 20x and its for x even if the 5 was a negetive

Help me people please

Answers

Answer:

C

Step-by-step explanation:

When the domain is y, the line is always horizontal

X could be anything and the line would still be horizontal because y is 1.5

The radius of a circular clock is 10.5 inches. Which measrement is closest to the circumference of the clock in inches

Answers

Answer:

65.9734457254 or 65.97

Step-by-step explanation:

c= pi x diameter

c= pi x (10.5 x 2)

c= pi x 21

= 65.9734457254

Answer:

66 in approx

Step-by-step explanation:

Given data

Radius= 10.5 inches

The circumference is given as

C= 2πr

Substitute

C=2*3.142*10.5

C=65.982

Hence the Circumference is 66 in approx

Which is the correct way to evaluate the expression 48−(29−17)?

Answers

Answer:

37

Step-by-step explanation:

Do the peranthesis and then the rest because of PEMDAS. The answer is 32

A rectangle has length of 80cm and a width 50cm. And a scale factor of 3.5 what is the area in square cm of the dilated rectangle

Answers

Answer:

49,000 square cm

Step-by-step explanation:

To get the area of the dilated rectangle, we need the dilated dimensions

We simply multiply the scale factor by the dimensions

we have this as;

3.5 * 50 = 175 cm

and

3.5 * 80 = 280 cm

The area of the dilated rectangle is thus;

280 * 175 = 49,000 cm^2

The height (h), in feet, of a balloon is calculated by using the equation h equals 3t + 2 where t is the time,in seconds. What is the height of ballon after 30 seconds?

Answers

ANSWER: 92

EXPLANATION:
You plug in 30 where t us and solve.
3(30)+2=92

fee clo 3. DeShawn's Bikes rents bikes for $11 plus $5 per hour. Maria paid $51 to rent a bike. For how many hours did she rent the bike? (Please all I need is the equation!!)​

Answers

Answer:

She rented the bike for 8 hours.

Step-by-step explanation:

51-11=40

40/5=8

What is the solution set for −4x − 10 ≤ 2?
A x ≤ −3
B x ≥ −3
C x ≤ 2
D x ≥ 2
helppppppppppppppppppppp

Answers

It’s B.
1. You move -10 over to the other side and get 12.
2. Now you have -4x< 12.
3.Now you divide -4 on both sides. (Since the “x” was a negative you flip the “<“ sign to “>”.)
4. Answer: x > -3

Two gym classes are participating in Field Day. One class has 24 students and the other has 27 students. The gym teachers want to divide the students in each class into the largest possible equal groups, with no students left over. If all the groups have the same number of students, how many students are in each group?

Answers

Answer:

bilmiyorum, bulamadım.

3 students in each group
class 1 - 8 groups
class 2 - 9 groups

let me know if i’m right because i’m not 100% sure!

help i need help i really really need help no cap

Answers

5.83, 0.5, 0.085
your welcome
5.83, 0.5, 0.085 that’s the answer :)

please show working ​

Answers

Answer:

234 cm²

Step-by-step explanation:

area = (base*height) / 2 = (52*9) / 2 = 234

four parcels had a weight of 400g. when a fifth parcel was added the mean became 500g. what was the weight of the fifth parcel?

Answers

Answer:

900 g

Step-by-step explanation:

Here, we want to get the weight of the 5th parcel

Mathematically, the total

is the mean multiplied by the count

the four parcel weighted 400 g averagely

The mean of this is 400(4) = 1,600 g

Adding the 5th parcel, we have an average of 500 g

This means that the total will be;

500(5) = 2,500 g

the difference in weight is the weight of the 5th parcel

That’s 2500-1600 = 900 g

What is this answer this is a little tricky for me

Answers

Answer:

the answer is a

Step-by-step explanation:

B is your answer it’s quadrilateral <3

Split 63 into the ratio 4:3

Answers

Answer:

36 and 27

Step-by-step explanation:

4+3=7

63/7=9

9x4=36

9x3=27

Answer:

Step-by-step explanation:    63'ü 3'e bölücez  sonuç 21 çıkar  21 ile 4'ü çarpicaz  sonuç 84  çıkar ne kadar döğru bilmiyorum ama bence böyle

If y varies inversely as x and y = 9 when x = 4, find y when x = 6.

Answers

Answer: x

=

6

Explanation:

the initial statement is

x

1

y

to convert to an equation multiply by k the constant

of variation

x

=

k

×

1

y

=

k

y

to find k use the given condition

x

=

4

when

y

=

9

x

=

k

y

k

=

x

y

=

4

×

9

=

36

equation is

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

2

2

x

=

36

y

2

2

−−−−−−−−−−−−

when

y

=

6

then

x

=

36

6

=

6

Step-by-step explanation:

Solve the proportion Round as necessary to the nearest tenth

Answers

Answer:

z=[tex]\frac{9}{2}[/tex]

Other posible answers:

z=4.5

or

z=[tex]4\frac{1}{2}[/tex]

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