A line that includes the point (7,0) has a slope of 1. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer 1

Answer:

[tex]y = x-7[/tex]    

Step-by-step explanation:

To write the equation of the line in slope-intercept form, use the slope-intercept formula, [tex]y = mx +b[/tex]. Find real values for the [tex]m[/tex] and [tex]b[/tex] and substitute them into the formula.  

1) We know that [tex]m[/tex] represents the slope, so substitute 1 in its place.  However, we still need to find [tex]b[/tex], or the y-intercept. So, along with substituting that 1 in for [tex]m[/tex], substitute the x and y values for (7,0) for the x and y in the formula as well. Then, isolate [tex]b[/tex] to find its value:

[tex]y = mx + b\\0 = (1)(7)+b\\0 = 7 + b\\-7 = b[/tex]

So, [tex]b[/tex] = -7.  

2) Now, just substitute the found values for [tex]m[/tex] and [tex]b[/tex] into the slope-intercept formula. Remember that the slope is [tex]m[/tex], so substitute 1 in, and [tex]b[/tex] is -7, so substitute -7 in its place as well. This gives the following equation in slope-intercept form:

[tex]y = 1x -7[/tex] or [tex]y = x-7[/tex]


Related Questions

A farmer sells 8.9 kilograms of pears and apples at the farmer's market. 1 4 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?

Answers

Answer:

7.5 kilograms of apples

Step-by-step explanation:

Take the total amount and subtract the amount of pears.

8.9-1.4=7.5

Answer:

If 2/5 are apples, 2/5 x 8.9 kilos = 0.4 x 8.9 = 3.56 kilos of apples

pears = 8.9 - 3.56 = 5.34 kilos

if apples are 2/5, then pears are 3/5.  3/5 x 8.9 = .6 x 8.9 = 5.34 kilos of pears

every day, andrews orange juice stand uses 2 bags of oranges. How many days with 2/3 of a bag of oranges last?

Answers

Answer:

2/3

Step-by-step explanation:

A motorboat takes 3 hours to travel 108 kilometers going upstream. The return trip takes 2 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
Rate of the boat in still water:
Rate of the current:

Answers

Answer:

45; 9

Step-by-step explanation:

1) if the rate of the boat in still water is 'b' and the rate of the current is 'c', then it is possible to write the rate of the boat going upstream: b-c, downstream: b+c.

2) the basic formula is: D=r*t, where D - distance, r - rate/velocity, t - time;

3) according to the condition it takes 3 hours to travel 108 km upstream, it means according to  the formula above 3(b-c)=108;

4) according to the condition it takes 2 hours to travel 108 km downstream, it means according to the formula above 2(b+c)=108;

5) if to make up the system of two equations, then:

[tex]\left \{ {{3(b-c)=108} \atop {2(b+c)=108}} \right. \ => \ \left \{ {{b=45} \atop {c=9}} \right.[/tex]

6) rate of the boat in still water: 45 km/h;

rate of the current: 9 km/h.

Helpppppppppppppppp

Answers

Answer:

∠QRT = 42°

Step-by-step explanation:

arc QT + 2(∠QPT = 2(42°) = 84°

arc QT = arc TQ

arc TQ = 2(∠QRT)

84° = 2(∠QRT)

∠QRT = 42°


y
is directly proportional to
x
2
.
If
y
=
12
when
x
=
2
find
y
when
x
=
6

Answers

Answer:

y=54+7

Step-by-step explanation:

Help me plzzzzzzzzzz.z.z.z.z.z.z..z.z.z.z

Answers

Answer:

Area of rectangle = 10 in.²

Area of triangle = 0.5 in.²

Square inches of plastic in bookmark = 9.5 in.²

Step-by-step explanation:

✔️Area of rectangle = Length × Width

Length = 5 in.

Width = 2 in.

Area of rectangle = 5 × 2 = 10 in.²

✔️Area of Triangle = ½*bh

b = 1 in.

h = 1 in.²

Area of triangle = ½*1*1

Area of triangle = 0.5 in.²

✔️Square inches of plastic in bookmark = area of rectangle - area of triangle

= 10 - 0.5 = 9.5 in²

a taxi company currently has nine cabs in its fleet, and its total daily cost is 4,000. if the company added a 10th cab its daily total cost would be 4.200 or 420 per cab.

Answers

Answer:

4000÷9 the answer it gaves for one you add it to the 4000

420 per cab?Im not sure but shouldn’t it be 400 instead?

Jennifer is attending a school orchestra concert.She sees her math teacher seated 4.5 meters ahead of her and her science teacher seated 1.1 metes to her right.how far apart are the two teachers?

Answers

Answer:

j

Step-by-step explanation:

jj

C = ?
when d = 25 m.
(C = circumference)
(d = diameter)

Answers

Answer:

12.5m

Step-by-step explanation:

I don't wanna type it lmco (laughing my cheeks off)

can someone help me with this

Answers

90000
Haha boogaloo booga

PLS HELP I ONLY NEED PART B

Kari and Julie are practicing for basketball tryouts. Kari makes 3 less than twice as many baskets as Julie.
Part A Write an expression with two terms for the number of baskets that Kari makes. Explain how you found your expression.
Part B Write an expression with three terms for the number of baskets that Kari and Julie make in all. Explain how you found your expression.

Answers

Answer:

X= 2y - 3  

Kari makes X tryouts. She also makes 3 less than twice as many as Julie which would be X= 2y - 3

Julie makes y tryouts and twice would be 2y.

Step-by-step explanation: hope this helps!!! :)

Answer:

X= 2y - 3  

Kari makes X tryouts. She also makes 3 less than twice as many as Julie which would be X= 2y - 3

Julie makes y tryouts and twice would be 2y.

Step-by-step explanation:

2 to the third power minus the quantity of (2x3) +(-4) =
could show the step by step process of working this problem

Answers

2 is the correct answerhdhhd

A pet store sold 12 siamese cats. If the ratio of siamese cats to house cats sold was 2 : 1, what is the combined amount of cats sold?

Answers

Answer:

32 cats in total

Step-by-step explanation:

so 18 siamese

the ratio was9:7=siameese:house

18=9 units

divide 9

2=1 unit

house=7 units

7 times 2=14

14 house cats

combined=siameese+house=18+14=32

so 18 siamese
the ratio was9:7=siameese:house
18=9 units
divide 9
2=1 unit
house=7 units
7 times 2=14
14 house cats

combined=siameese+house=18+14=32

What is the slope of the line X=-3?

Answers

Answer:

undefined

Step-by-step explanation:

Answer:

The slope is undefined

Step-by-step explanation:

PLEASE HELP ILL MARK BRAINLY FOR CORRECT ANSWER

Answers

Answer:

120 minutes

Step-by-step explanation:

12 x 10 = 120

10 x 12 = 120

15 x 8 = 120

You will put the muffins in 10 times and you will put the cookies in 12 times then you will put the scones in 8 times. If you have different numbers, you can first start out with one number and times all of the numbers by that one number. For example I picked 5 to start out with:

12 x 5 = 60 minutes 10 x 5 = 50 minutes 15 x 5 = 75 minutes.

Then I did 12 x 6 = 72 minutes, 10 x 6 = 60 minutes, 15 x 6 = 90 minutes

Since I still don't have the numbers to add up to the same answer, I went to timing them by 7:

12 x 7 = 84 minutes, 10 x 7 = 70 minutes, 15 x 7 = 105 minutes

They are still not the same answer so lets try 8:

12 x 8 = 96 minutes, 10 x 8 = 80 minutes, 15 x 8 = 120 minutes.

Since I don't want to go farther than 120 minutes, I will keep trying different numbers for the other ones besides 15.

12 x 9 = 108 minutes, 10 x 9 = 90 minutes

12 x 10 = 120 minutes, 10 x 10 = 100 minutes

Now we will focus on getting 10 to 120 because we got 12 to 120.

10 x 11 = 110 minutes

10 x 12 = 120 minutes

To sum all of this, it took 8 trips to get 15 minutes to 120 minutes, 10 trips to get 12 minutes to 120 minutes, and 12 trips to get 10 minutes to 120 minutes.

One more way to think about this is:

10, 12, and 15 can go into 120 evenly.

[tex]12\sqrt{120} = 10[/tex]

[tex]10\sqrt{120} = 12\\15\sqrt{120} = 8[/tex]

what is the shape and direction of f(x)=(x+7)(x+11)

Answers

Given:

The function is

[tex]f(x)=(x+7)(x+11)[/tex]

To find:

The shape and direction of the given function.

Solution:

We have,

[tex]f(x)=(x+7)(x+11)[/tex]

It can be written as

[tex]f(x)=x^2+11x+7x+77[/tex]

[tex]f(x)=x^2+18x+77[/tex]

It is a quadratic function and the power of [tex]x[/tex] is 2 so the graph of this function is a vertical parabola.

The leading coefficient is positive so the parabola opens upward.

Therefore, the given function is a vertical parabola that opens upward.

What Is The Answer
k3 - 4j +12, when k=8, j=2​

Answers

Answer:

The answer would be 28

Step-by-step explanation:

You would plug 8 in where k is and 2 where j is

so (8)3 - 4(2) +12

answer is 28

Yes, answers would be 28

give brailist but help me fast

Answers

Answer:

76.7

Step-by-step explanation:

11.3(3) + 10.7(4) = __ + 42.8

Multiply values

33.9 + 42.8 = __ + 42.8

The missing value is 33.9!

42.8 + 33.9 = 76.7

In AIJK, the measure of K=90°, IJ = 8.6 feet, and KI = 4.5 feet. Find
the measure of ZI to the nearest tenth of a degree.

Answers

Answer:

58.4

Step-by-step explanation:

delta math give up

How do savings account differ from checking accounts
- they’re not offered at banks
- they typically pay interest
- the funds are easier to get
-you have to keep the money in for a long

Answers

Answer:

Savings accounts typically pay interest.

Step-by-step explanation:

What’s the answer to this

Answers

The answer is A I think

The temperature changes from 9°F to -5°F. Which of the following expressions model the distance on thermometer between 9°F and -5°F? Choose all the correct answers

A I -5 -9 I

B I 9 -5 I

C I 9- (-5) I

D I -5 (-9) I

E I -9 - (-5) I

Answers

Answer:

[tex]d = |- 5- 9|[/tex]

Step-by-step explanation:

Given

[tex]Initial = 9^\circ F[/tex]

[tex]Final = -5^\circ F[/tex]

Required

Determine the difference

Represent this with d.

d is calculated using

[tex]d = |Final - Initial|[/tex]

The equation becomes

[tex]d = |- 5- 9|[/tex]

Answer this page: BIG REWARD GRANTED

Answers

Whats the big reward

Answer:

I don't even get what you want us to do

Step-by-step explanation:

difference quotient for f (x) = 2x + 3 /5x

Answers

Answer:

1 and -0.6

Step-by-step explanation:

Based on information from the periodic table, what does this image represent? HE 4 Protons e 5 Neutrons = 2 Electrons A. A negatively charged beryllium ion
B. A neutral boron atom
C. A neutral beryllium atom
D. A positively charged beryllium ion​

Answers

Answer:

D. A positively charged beryllium ion

This image represents A positively charged beryllium ion.

We have given that,

He 4 Protons e 5 Neutrons = 2 Electrons

A. A negatively charged beryllium ion

B. A neutral boron atom

C. A neutral beryllium atom

D. A positively charged beryllium ion​.

We have to determine, Based on information from the periodic table what does this image represent?

What is the periodic table?

A table of the chemical elements arranged in order of atomic number, usually in rows, so that elements with similar atomic structure (and hence similar chemical properties) appear in vertical columns.

This image represents A positively charged beryllium ion.

To learn more about the periodic table visit:

https://brainly.com/question/15987580

#SPJ2

What is the volume of a cube with a side length of 3t5units?

Cube V = s3

Answers

Answer:

V=a3=33=27

Step-by-step explanation:

sorry if its wrong

Round 1526.04 to the nearest tenths

Answers

1526.00

This is because the 4 is not atleast or greater than five, therefore it rounds down.

What is the answer plz​

Answers

answer: area of the shape is 180m2 (2 means squared)

Answer:

A = 180m²

Step-by-step explanation:

To find the area of the bottom rectangle subtract the height of the top rectangle. Hope that makes sense if you want a another just ask.

what is the slope of the line that passes through the points (2,-3) and (2,13)? write your answer in simplest form

Answers

Answer:

The slope is undefined because there is no change in x, making it a vertical line

Step-by-step explanation:

help me please
bddbdbbdbd​

Answers

35 cats (70%) 15 dogs (30%)

50 x 70% = 35

50 - 35 = 15 (remaining 30%)

1. Find the amount of cats.
2. There are 50 dogs and cats, 30% are dogs.
3. multiplication
4. Formula shown above

Hope this helps!
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