1.) We can write a equation of a line when we know only the slope and the _____________ of any point of the line.
2.) Given only two points, it is easy to find the equation of the line when you find first the _______________.

Answers

Answer 1

Answer:

1) coordinates

2) slope

Step-by-step explanation:

The equation of a line is given by the two equations:

[tex]y=mx+b[/tex], where m is the slope and b is the y-intercept, or

[tex]y-y_1=m(x-x_1)[/tex], where x₁ and y₁ is the location of any point on the line, and m is the slope.

→ As such, we know that given the slope and the coordinates of any point on a line, we can write the line's equation.

We can also find the slope of a straight line between two points with the following equation:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex], where m is the slope, x1 and y1 is the location of the first point, and x2 and y2 is the location of the second point. Remember: rise (y) over run (x).

→ So, given only two points, it is easy to find the equation of the line when you first find the slope.


Related Questions

0.2x + 1 = 1.6x + 3.1
What value of x satisfies the equation above?

Answers

Answer:

x = -1.5

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

0.2x + 1 = 1.6x + 3.1

Step 2: Solve for x

Subtract 0.2x on both sides:          1 = 1.4x + 3.1Subtract 3.1 on both sides:             -2.1 = 1.4xDivide both sides by 1.4:                 -1.5 = xRewrite:                                            x = -1.5

Step 3: Check

Plug in x to verify it's a solution.

Substitution:                    0.2(-1.5) + 1 = 1.6(-1.5) + 3.1Multiply:                           -0.3 + 1 = -2.4 + 3.1Add:                                 0.7 = 0.7
Your answer is -1.5

PLEASE HELP
1. Select ALL expression(s) has a value less than 4?
A) |-8|
B) |6|
C) -10
D) |-2|

Answers

B is the right answer
The correct answers are C and D. When a negative number has an absolute value the number turns positive

|-2| means that it’s 2 units away from 0. -10 is also less than 4. |-8| is 8 and |6| is 6 which are both higher than 4. Thus, the correct answers are C and D.

The highest temperature ever recorded in chicago was 105 degrees and the lowest was -27 degrees use absolute values to find the differences between the highest and lowest temperatures

Answers

Answer:

The differences between the absolute highest and the absolute  lowest temperatures is 78°.

Step-by-step explanation:

It is provided that:

The highest temperature ever recorded in Chicago was 105° The lowest was -27°.

Compute the differences between the absolute highest and the absolute  lowest temperatures as follows:

[tex]\text{Difference}=|\text{Highest}|-|\text{Lowest}|[/tex]

                [tex]=|105^{o}|-|-27^{o}|\\\\=105^{o}-27^{o}\\\\=78^{o}[/tex]

Thus, the differences between the absolute highest and the absolute  lowest temperatures is 78°.

if the original is 12 units and the scale factor is 1/4 what is the size of the scale drawing?

Answers

The scale drawing is 3 units

What is the equation of this line?


y = 2x

y=12x

y=−2x

y=−12x

Answers

Y=2X

Looking at the line you can see that it is moving up from left to right, making it positive. So -2X and -12X are incorrect.

Next we can find the slope by putting rise over run. Chose a point on the line, I’ll use (2,4).
On this point we rise to 4 and run over to 2.
So for rise over run we have 4/2 which is 2.
So y=2x is correct.

I have no use for my points

Answers

I’m guessing the answer would be the second one!

Answer: patronaged by the church

Step-by-step explanation:

Hi. ITS URGENT.
I need help with No 5 and 7 (see image)
Please show workings

Answers

Answer:

5. a^3 + b^3 = (a+b)^3 - 3ab(a+b)

Step-by-step explanation:

(a+b)^3

= (a+b) (a+b) (a+b)

={(a+b) (a+b)} (a+b)

={a(a+b) + b(a+b)} (a+b)

=(a^2 + ab + ab + b^2) (a+b)

=(a^2 + b^2 + 2ab) (a+b)

=a^2(a+b) + b^2(a+b) + 2ab(a+b)

=a^3 + a^2b + ab^2 + b^3 + 2a^2b + 2ab^2

=a^3 + b^3 + 3a^2b + 3ab^2

=a^3 + b^3 + 3ab(a+b)

(a+b)^3 = a^3 + b^3 + 3ab(a+b)

(a+b)^3 - 3ab(a+b) = a^3 + b^3

a^3 + b^3 = (a+b)^3 - 3ab(a+b)

Hope this helped!

Answer:

I am just giving the expansion, so that you can substitute the values and solve it

What's 40% off 100??!!!

Answers

Answer:

40

Step-by-step explanation:

anything percent out of 100 is the same number without percent

Answer:

60

Step-by-step explanation:

40% of 100 = 40 100-40 = 60

Hope this helped! If it did, please mark brainliest! It would help out a lot! Thanks! :D

The slope of a line is -4, and the y-intercept is -3. What is the equation of the line written in slope-intercept form?

y = -4x - 3
y = 4x - 3
y = -4x + 3

Answers

Answer:

y= -4x+-3 = y=-4x-3

The rest are wrong.

Hi there! :)

We are given the slope of the line and its y-intercept.

So, we write the equation in slope-intercept form (y=mx+b)

m is the slope of the line, and b is the y-intercept.

y=mx+b

y=-4x-3

Hence, that's the equation (Option A)

Hope it helps. Use the comment section to clarify your doubts.

Answered by

~A cheerful gal who helps others and smiles

Good luck.

What is the converse for this conditional statement? Is the converse true?
If a number is even then it is divisible by 2

Answers

The converse would be, If a number is divisible by 2, then it is even.

The converse is true. Thus, you would be able to make a biconditional stament with this information.

What is another way to write the absolute value inequality lp|<1 2?

Answers

Answer:

|p| ≤ 12

Step-by-step explanation:

The absolute value of p less than or equal to 12

Answer:

its A

Step-by-step explanation:

yes

Is this graph a function?

Answers

Answer:A

Step-by-step explanation:

Answer: a

Step-by-step explanation:

In 2003, the average attendance per game for a football team was about (1 × 104) + (9 × 103) + (9 × 102). What is this number in standard form?

show work

Answers

Answer:

1.99 * 10^4

Step-by-step explanation:

Here, we want to write the addition in standard form

= (1 * 10^4) + (9 * 10^3) + (9 * 10^2)

= 10,000 + 9000 + 900

= 19,900

so the number in standard form is;

1.99 * 10^4

If Jessica and Jonathan have created 19.64 cups of lemonade they sell the lemonade in serving of 1.25 cup. How many full serving will they be able to seel

Answers

Answer:

15 servings

Step-by-step explanation:

total amount of lemonade = 19.64 cups

lemonade per serving = 1.25 cups

total servings = 19.64 cups / 1 .25 cups = 15.712 servings

since you cannot sell a partially full serving, Jessica and Jonathan will only be able to sell 15 servings

in order for them to sell 16 full servings, they need to prepare 20 cups of lemonade (= 20 / 1.25 = 16)

If you need points or just want points u can answer this very simple question:

What is 2 + 2?

Answers

Answer:

2 + 2 is 4

Step-by-step explanation:

thanks!!!!!!!

The answer is 4 ty for the points

If log (100ab^2) is expressed as a function of log b, the result would be:
1). 2 log a + 2 log b
2). 100 log a + 2 log b
3). 2 + log a + 2 log b
4). 2 + 2 log a + 2 log 6

Answers

Answer:  Choice (3)

2 + log(a) + 2*log(b)

======================================================

Work Shown:

The log rules we'll use are

log(xy) = log(x)+log(y)log(x^y) = y*log(x)log(10) = 1, where the log is base 10

So,

c = log(100ab^2)

c = log(100) + log(a) + log(b^2) ......... use log rule 1

c = log(10^2) + log(a) + log(b^2)

c = 2*log(10) + log(a) + 2*log(b) ......... use log rule 2

c = 2*1 + log(a) + 2*log(b) .................... use log rule 3

c = 2 + log(a) + 2*log(b)

Note: The use of rule 3 assumes that all logs shown are in base 10, which is the default assumed base. Rule 3 doesn't work for any general base. The more generalized rule is [tex]\log_b(b) = 1[/tex]. If b = 10, then we get rule 3 above.

What is the answer for -3(4x-2)<18

Answers

Answer:

[tex]x>-1[/tex]

Step-by-step explanation:

I used guess and check - anything above -1 works!

Answer:

x>-1

Explanation:

4x-2>-6

4x>-6+2

4x>-4

4x>-4

=x>-1

y = b + 5x
(10,1)

Solve for b. Brainliest!​

Answers

Answer:-49

Step-by-step explanation:(10,1)= (x,y) so we can see that x=10 and y=1. Now you put them in the equation 1=b+5*10. Then you get 1=b+50 and you put 50 to the left side and it becomes negative. 1-50=b . Therefore b=-49

Answer:

Step-by-step explanation:

y = 5x + b ⇒ b = y - 5x

(10, 1)

b = 1 - 5(10) = 1 - 50 = - 49

b = - 49

Quadrilateral ABCD has coordinated A(-4,3)B(-3,6)C(0,8)D(-2,5). Prove that quadrilateral ABCD is a parallelogram.

Answers

Answer:

The plotted dots connect to create a parallelogram with two sets of parallel lines in the second quadrant

Step-by-step explanation:

This might be a little tricky to explain but I will try my best.

A parallelogram is a four-sided plane rectilinear figure with opposite sides parallel.

The first pair of numbers is in the second quadrant the second set is also in the second quadrant a little bit up and to the right. The third set in the line a little up, the last set is again in the second quadrant and a little further down and near the middle.

Sorry if the answer isn't what you had hoped for, feel free to ask questions about it and I'll explain the best I can.

Anna's college tuition payment is automatically

withdrawn from a separate checking account used only

to pay tuition. At the beginning of the year, the balance

in this account was $13,287.48. After withdrawals each

month for a year, the balance is $1,449.84. How much is

Anna's college tuition payment each month? Estimate to

show that your answer is reasonable.

Answers

Answer: $‭986.47‬

Step-by-step explanation:

The total tuition fee for the year is;

= 13,287.48 - 1,449.84

= $‭11,837.64‬

The payment per month will therefore be;

= ‭11,837.64‬/12 months

= $‭986.47‬

VERY URGENT WILL GIVE YOU 100 POINTS

Answers

    Answer:

11x5x+75x+88x+9yx+8y+1212x+3y10a+7b+419a+11a+16b+104a+17b+1112a+2b+244a+3b+12⋅(4x+3)11x+204x+2711x+8y5x+3y+187x+15y+307⋅(x+y)10y+5x+332x+7y+379x+7y+92⋅(3x+4)8x+13

Answer:

1. 11x

2.5x + 7

3. 5x +8

4. 8x + 9y

5. X + 8y +12

6. 12x + 3y

7. 10a + 7b + 4

8. 19a + 11

9. a + 16b + 10

10. 13a + 9b * 11

11. 12a + 2b + 24

12. 4a + 3b + 1

13. 8x + 6

14. 4x + 27

15. 11x + 20

16. 11x + 8y

17. 5x + 3y + 18

18. 7x + 15y + 30

19. 7x + 7y

20. 5x + 10y + 33

21. 2x + 7y + 37

22. 9x + 7y + 9

23. 6x + 8

24. 8x + 13

Please Help This is for math Homework

Answers

Answer:

id say 4 google's calculator is a good math helper as well

Step-by-step explanation:

The complex numbers z and w are graphed. Which expression represents z + w? (2 + i) + (3 + i) (2 – i) + (3 + i) (2 – i) + (3 + 2i) (2 + i) + (3 + 2i)

Answers

Answer:

(2 - i) + (3 + 2i)

Step-by-step explanation:

got it right on edge 2020

Answer:

C. (2 – i) + (3 + 2i)

Step-by-step explanation:

Frankie buys six and twelve fifteenths pounds of cherries and four and four sixths pounds of grapes. How many pounds of fruit did she buy in total?

Answers

Answer:

Eleven and seven fifteenths pounds of fruit.

Step-by-step explanation:

6+4 = 10 pounds

12/15 + 4/6 = 1+7/15

Therefore, total pounds of fruit = 11 and 7/15

Hope this helped!

Thi is a venn diagram or set question
In a village all the people speak Hausa or English or both. If 97% speak Hausa an 64% speak English, what percentage speak both languages?
please help me
please ​

Answers

Answer: The answer is 33% of people spoke Hausa and English language.

Step-by-step explanation:

Combine like terms to simplify each expression.
1) -3x + 7x

Answers

Answer:

4x

Step-by-step explanation:

-3x + 7x

(-3 + 7)x

4x

Answer:

4x

Step-by-step explanation:

to make it easier, remove the x:

-3+7

Add:

4

Put the X back:

4x

This method will not always work for every problem.

Which answer best details a weakness of the Articles of Confederation?


A)The Articles of Confederation did not allow Congress to tax the nation, which caused debt issues.

B)The Articles of Confederation allowed Congress to collect state taxes, but not control the amount of the taxes.

C)The Articles of Confederation allowed Congress to collect sales taxes, but not control the amount of the taxes.

D)The Articles of Confederation allowed Congress to tax the nation, which caused the citizens to be unhappy.

Answers

Answer:

The major weakness of the Articles of Confederation was that it did not allow Congress to tax the nation, which caused debt issues (A).

Explanation:

Not only this but it prevented the Congress from forming a central government that would be capable of ruling the newly formed United States.

A triangle has an area of 75 feet, with a base of 10 feet. What is the height?

Answers

Answer:

7.5

Step-by-step explanation:

FOR 40 POINTS
The is used to measure volume.
choices:
meter
gram
liter

Answers

Answer:

liter

Step-by-step explanation:

Kat runs 12 miles each week. How
many miles will she have run after
20 weeks?

Answers

Answer: 240 miles

Step-by-step explanation:

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