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

The work shown is a way to derive Tangent (x + y) = StartFraction tangent (x) + tangent (y) Over 1 minus tangent (x) tangent (y) EndFraction

What expressions go in the derivation of the tangent sum identity in place of A, B, and C?
Cos y cos x tan y sin x

Answers

Answer:

A: cos x

B: cos y

C: tan y

Step-by-step explanation:

The missing value of A, B and C are as follow:

A: cos x

B: cos y

C: tan y

What is Trigonometry?

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

sin (x-y)/ cos (x- y)

Step 2:

= sin x cos y + cos x sin y / cos x cos y - sin x sin y

Step 3:

= (sin x cos y + cos x sin y) / cos x cos y ÷ ( cos x cos y - sin x sin y ) / cos x cos y

step 4:

= sin x cos y/ cos x cos y + cos x sin y / cos x cos y ÷

  (cos x cos y / cos x cos y - sin x sin y / cos x cos y)

Step 5:

= tan x + tan y / 1- tan x tan y

Learn more about Trigonometry here:

https://brainly.com/question/29002217

#SPJ2

simplify 3square root 5 over 4square root of 5

Answers

Answer:

5[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

This is the answer because:

1) We have to do 5^1/3 x 5^-1/4

2) Next, we do 5^1/3 - 1/4 which is 5^1/12

Therefore the answer is 5^1/12

Hope this helps!

The simplified value of the given expression is 5¹/₁₂

What is expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given is an expression, [tex]\frac{\sqrt[3]{5} }{\sqrt[4]{5} }[/tex], we need to simplify it,

5¹/₃ / 5¹/₄

= 5⁽¹/₃-¹/₄⁾

= 5¹/₁₂

Hence, the simplified value of the given expression is 5¹/₁₂

Learn more about expressions, click;

https://brainly.com/question/13947055

#SPJ5

A regular polygon first maps directly onto itself after rotating 10 degrees. How many sides does the polygon have?

Answers

Answer:

I think it is 8.

Step-by-step explanation:

But I might be wrong.

Answer:

36 sides

Step-by-step explanation:

360 degrees divided by the number of sides equals the rotation degrees. So in order to have your polygon map itself after rotating 10 degrees, it would have to have 36 sides. 360/36 = 10.

If you were outlining an essay using the sentences below, which one would you use as your thesis statement? O A. Train travel is more economical than car travel. B. Although there are advantages to both, train travel is superior to car travel O C. On a train you can relax, sleep, and do other activities you couldn't do if you were driving. OD. Riding on a train is safer than driving in a car.​

Answers

Answer: I think it is D

ASAP plzzz thanks

What is the next number in the sequence below?
3,6,9,12,?
O A. 21
O B. 14
O C. 18
O D. 15

Answers

Answer:

its 15 ur counting by 3's

Step-by-step explanation:

Answer:

it is 15

Step-by-step explanation:

just go by 3's 3,6,9,12,15,18,21,24,27,30

Draw a street diagram based on the given information
1) Fox Boulevard and
Harty Way are parallel
2) Barbosa Avenue
intersects Harty Way
and Fox Boulevard
I
3) Hankins Salon and
Chase bank are same
side interior angles
4) Buckley Park and Town
Hall are alternate
exterior angles
5) Popeye's and
McDonalds are on
corners that are
supplementary

Answers

Answer:

See attachment.

Step-by-step explanation:

The name of the streets and places are abbreviated as follows:

✍️The Streets:

Fox Boulevard = FB

Harty Way = HW

Barbosa Avenue = BA

✍️Places:

Hankins Salon = HS

Chase bank = CB

Buckley Park = BP

Town Hall = TH

Popeye's = PP

McDonalds = MD

Based on the information given, a diagram of the streets have been drawn and attached below.

What is x+4=10 answer fast

Answers

Answer:

x=6

Step-by-step explanation:

10-4=6

what is the slope of the line 5x +2y = -15

Answers

Answer:

-5/2

Step-by-step explanation:

5x +2y = -15

-5x          -5x

2y = -5x - 15

y = -5/2x - 7.5

y = mx + b

Slope (m) = -5/2

down 5, right 2

-5/2
y = Mx + b
5x + 15 = - 2y
-5/2x -15/2 = y

?/1 Movie Theater Admission Adult: $10 Children (under 13): $8 Matinee (before 6 P.M.): $5 Connor (age 13), his sister (age 7), and Connor's two parents go to a movie on Saturday night. Write an expression for the total cost. What is the total cost?

Answers

Answer 10$ + 8$+5$= answer that first.

Step-by-step explanation:

Can you guys check these :) I’ll give brainleist :)

Answers

Answer:

9. No

10. Yes

Step-by-step explanation:

The first one is not, since you have (3, 3) and (3, 9).  In a function, each x maps to a single y.

The second one is since every x appears only once.

X 2 +10x+22=13x, squared, plus, 10, x, plus, 22, equals, 13 1) Rewrite the equation by completing the square. Your equation should look like (x+c)^2=d(x+c) 2 =dleft parenthesis, x, plus, c, right parenthesis, squared, equals, d or (x-c)^2=d(x−c) 2 =dleft parenthesis, x, minus, c, right parenthesis, squared, equals, d.

Answers

Answer:

(x + 5)^2 = (5 - 3)^2

Step-by-step explanation:

Given the equation;

x^2 + 10x + 22 = 13

We have;

x^2 + 10x = 13 - 22

x^2 + 10x = -9

Adding half of 10 to both sides and completing the square as usual, we have;

(x + 5)^2 = 5^2 + (-9)

(x + 5)^2 = (5 - 3)^2

The rewritten equation, after completing the square, is

(x - 3/2)² = -79/4.

To rewrite the equation x² + 10x + 22 = 13x as (x + c)² = d or (x - c)² = d, we need to complete the square on the left side of the equation.

Step 1: Move the constant term (22) to the right side of the equation:

x² + 10x = 13x - 22

Step 2: Move all terms involving x to the left side:

x² + 10x - 13x = -22

x² - 3x = -22

Step 3: Take half of the coefficient of x (-3) and square it.

To both sides of the equation, add the following value:

x² - 3x + (-3/2)² = -22 + (-3/2)²

Simplifying:

x² - 3x + 9/4 = -22 + 9/4

Step 4: Make the right side of the equation simpler:

-22 + 9/4 = -88/4 + 9/4 = -79/4

Step 5: The left side of the equation should now be written as a perfect square trinomial:

(x - 3/2)² = -79/4

Therefore, the rewritten equation, after completing the square, is

(x - 3/2)² = -79/4.

Learn more about Completing Square Method here:

https://brainly.com/question/13674062

#SPJ6

The function y= 19,800/x is a rational function. Use this function to answer each question. What are the asymptotes of the function? Check all the apply. • x=0 • x= 19,800 • y= 0 • y= 19,800

Answers

Answer:

Step-by-step explanation:

Given the function y = 19800/x

Vertical asymptote occurs at when f(x) = 0 where;

f(x) is the denominator of the given function.

From the expression given: f(x) = x

Since f(x) => 0, hence x = 0

To get the horizontal asymptote, we will look at the degree of the numerator and denominator. If the degree of numerator is less than the denominator, the horizontal asymptote will be zero. From the function, we can see that the degree of the numerator is zero (being a constant) and that of the denominator is 1.

Since 0<1, hence the horizontal asymptote is 0

x = 0, y = 0

Answer:

x = 0

y = 0

second question is b

third question is b

and forth is c

Step-by-step explanation:

1. There are 4 quarters in 1 dollar.
a) Shade 1 of a dollar.
2
1
a
+
b) How many cents are in
2
of a dollar?
NE
Help plss

Answers

Answer:

1) Shade 2.

2) 50 cents

Step-by-step explanation:

1/2 of a dollar is 2  so shade 2.

B) 50 cents.

Hope this helps Happy Thanksgiving !!!!!!,!

1+2=? may be 3
plz help me

Answers

Answer:

I'm pretty sure it is 3

Step-by-step explanation:

Not too sure though

these 2 questions ASAP!! BRAINLIEST & 30 points!!

Answers

Answer:

1.) 2/5

2.) -7/5

Step-by-step explanation:

Slope Formula: m = y2 - y1/x2 - x1

1.) 2/5

m = y2 - y1/x2 - x1

m = -1 - (-3)/0 - (-5)

m = -1 + 3/0 + 5

m = 2/5

2.) -7/5

(-2,3) and (3,-4)

m = y2 - y1/x2 - x1

m = -4 - 3/3 - (-2)

m = -4 - 3/3 + 2

m = -7/5

Plz help!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

c = 5n

Step-by-step explanation:

The cost is equal to the price times the number of notebooks

Which statement correctly compares the function shown on this graph with
the function y = 7x - 10?
Plz help me with this

Answers

Answer:

The answer is A, the function shown on the graph has a smaller rate of change, but a higher starting point. hehe your welcome.

Step-by-step explanation:

The function shown in the graph has a smaller rate of change but a higher starting point. Option A is correct.

Given that,
To compare the function shown in the graph with y =7x -10.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
The slope of the function y =7x - 10 is m = 7, and the slope of the function in the graph is m = 6.
The intercept of the function in equation form is -10 while the intercept of the function shown in the graph is -6.

Thus, the functions shown in the graph have a smaller rate of change but a higher starting point. Option A is correct.

learn more about function here:

brainly.com/question/21145944

#SPJ5

Marisa has $26 in her purse. She pays $5 for lunch. Which expression represents this situation?

Answers

Answer: 26-5

Step-by-step explanation:

literally you take 5 aways from 26

A photograph of sides 35cm by 22cm is mounted onto a
frame of external dimension 45cm by 30cm. Find the area
of the border surrounding the photograph.​

Answers

Answer:  580 square cm

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

Work Shown:

A = area of smaller rectangle

A = length*width

A = 35*22

A = 770

B = area of larger rectangle

B = length*width

B = 45*30

B = 1350

C = area of the border only

C = B - A

C = 1350-770

C = 580 square cm

Step-by-step explanation:

Dimension of photograph is 35cm and 22cm.

And external dimension of photo frame is 45cm and 30cm

So, the area of the border surrounding the photograph=Area of photo frame−Area of photo.

So, The area of the border surrounding the photograph=45×30−35×22

=1350−770=580cm

2

If you were evaluating the expression (20 - 2^4)^4(20−2​4​​ )​4​​ - 6, what would you do first?

Answers

I would do the exponent first
I hope this helps you :D

Share what you think loves is. I think love is when you can sit next to each other and not say anything watching tv or something on your own and still have a good time, or when you can make my day by just showing up. what is 7+2000000?

Answers

Answer:

2000007

Step-by-step explanation:

Julie started with 20 prices of gum

Answers

Answer:

The answer is C) 15

Step-by-step explanation:

If you replace each answer choice with the varibale, (x) then 15 would be the only choice that fits properly.

Equation:  20-x = 35-(2x)

when replacing 15 with x this is your new equation...

20-15 = 35-(2x15)

5 = 35-30

5=5

hope this helped :)

brainliest?

Round 10,982 to the nearest thousand

Answers

11,000 - rounded to the nearest thousand!

Answer: 11,000 - rounded to the nearest thousand!

heyo bros i need you're help here.........​

Answers

Answer:

prime number number that are divisible by itself n 1

=10

Your answer is: 10

Very easy to solve, hope this helps!:)

The drop down options are explicit and recursive.

Answers

Answer:

Recursive

Explicit

Step-by-step explanation:

An arithmetic sequence an be represented by a recursive rule which gives the first term and defines the nth term by relating it to the previous term, or by an explicit rule which defines the nth term as a function of n.

The recursive rule is that we have the initial term. To find the subsequent term, we will take that previous term and add it to our common difference.

Hence, we are relating the previous terms to define the nth term.

For the explicit rule, we simply have a function of n. To find the nth term, we can substitute our desired term n for n and evaluate.

Find the domain and Range
f(x)= 2/7x-2

Answers

Answer:

Domain: {x|x∈R}

Range: ,{y|y∈R}

Step-by-step explanation:

Write the equation of the line that has a slope of -3 and a y-intercept of 2 in slope-intercept form.

Answers

Answer:

Step-by-step explanation:

Well, the linear equation of a line is:

y=mx+b

Where  

m

is the slope and  

b

is your y-intercept

So, you can just plug the numbers into the equation

m = − 3

and  

b = − 2

y = − 3x-2

Write a conjecture for the following situation - the product of three odd numbers.

Answers

Answer:

5

Step-by-step explanation:

On weekdays it costs £6.50 per hour to hire a tennis court at Meadway
Tennis Club. On Saturdays the cost is 30% more. How much does it cost to
hire a court for 2 hours on a Saturday?

Answers

Answer: £16.90

Step-by-step explanation:

From the question, we are informed that it costs £6.50 per hour to hire a tennis court at Meadway Tennis Club but that on Saturdays the cost is 30% more. The cost in Saturdays per hour will then be:

= £6.50 + (30% × £6.50)

= £6.50 + ( 0.3 × £6.50)

= £6.50 + £1.95

= £8.45

The cost to hire a court for 2 hours on a Saturday will then be:

= £8.45 × 2

= £16.90

I need help with my homework

Answers

Answer:

The measure of the arc RQ is 160°

Step-by-step explanation:

In any circle, the measure of the subtended arc of an inscribed angle is twice the measure of this inscribed angleThe measure of any circle is 360°

Let us use these rules to solve the question

In the given figure

∵ ∠RPQ is an inscribed angle subtended by arc RQ

m of arc RQ = 2 × m∠RPQ

∴ m∠RPQ = 5x + 15

∴ m of arc RQ = 2 × (5x + 15)

→ Multiply the bracket by 2

∴ m of arc RQ = 2(5x) + 2(15)

m of arc RQ = 10x + 30

The measure of the circle = 360°

∵ The sum of the measures of arcs RQ, QP, and PR equals the measure

   of the circle

∵ m of arc QP = 6x - 12

∵ m of arc PR = 9x + 17

→ Add them and equate the sum by 360°

10x + 30 + 6x - 12 + 9x + 17 = 360

→ Add the like terms in the left side

∵ (10x + 6x + 9x) + (30 - 12 + 17) = 360

∴ 25x + 35 = 360

→ Subtract 35 from both sides

∴ 25x = 325

→ Divide both sides by 25 to find x

x = 13

→ To find the measure of arc RQ substitute x by 13 in its measure

∵ m of arc RQ = 10(13) + 30 = 130 + 30

∴ m of arc RQ = 160°

The measure of the arc RQ is 160°

Other Questions
Draw the correct structure(s) for (2R,3S)2,3dibromobutane. Show stereochemistry clearly. To ensure proper grading, explicitly draw all four groups, including wedge/dash bonds, around a chirality center. Indicate whether the compound(s):_____.a. could exist in an optically active form.b. could exist in optically active form.b. cannot exist in optically active form.c. cannot be determined. What words come to mind to describe the soldier in this image? How do the children in the picture appear to feel about the soldier? What attitude toward war and soldiers does the picture convey? Which number would make this inequality true?______ Who is Muley Graves, and what does he tell Tom? who are consumers?in payment Hello! if anyone could help me I'd really appreciate it!. Thanks ! Please help will market brainliest?! Can a quadratic have one real and one non real root A role can be defined as the enduring behaviors, ideas, attitudes, values, and traditions shared by a group of people and transmitted from one generation to the next. understood rules for accepted and expected behavior. feelings that predispose us to respond in a particular way to objects, people, and events. the set of prescribed behaviors that are associated with a particular social position. Who is the scientist who credited with the discovery of natural selection i need help asappppp Explain how Islam spread in western China, we have test answer quick!!! Translate this in English from Latin to English They are praising Would you rather be loved or respected? Because?-Must be 5 sentences using complete punctuation-Try your bestPLZ HELP I'll give BRAINLIEST ANSWER! PLease answer the slope!!!!!!!!!!!!!!!!!!! P and q are integers that are multiple of 5. Which of this not true about p and q (a) P + q is divisible by 5(b) P q is divisible by 10(c) P + q is divisible by 20(d) P + q is divisible by 25 Discuss the variables in both formulas and how they affect water potential. = p + s = -iCRT True or false. when objects collide , some momentum is lost What is the quotient of3/4 and 1/5 what is conflict management