find the equation of a line given two points (1, 2) and (4, 3).

Answers

Answer 1

Answer:

[tex]slope \: or \: gradient = y2 - y1 \div x2 - x1 \\ 3 - 2 \div 4 - 1 \\ 1 \div 3 \\ y = mx + c \\ 2 = 1 \div 3 \times 1 + c \\ 2 = 1 \div 3 + c \\ 2 - 1 \div 3 = c \\ c = 5 \div 3 \\ y = 1 \div 3x + 5 \div 3[/tex]


Related Questions

What is the slope-intercept equation
for the following line?

Answers

Answer:

y = - x + 1

Step-by-step explanation:

Slope = 2/-2 = -1

y-intercept: 1

y = -x + 1

Answer:

y = -x + 1

Step-by-step explanation:

Given the points (2, -1) and (0, 1):

Let (x1, y1) = (2, -1)

(x2, y2) = (0, 1)

Substitute these values into the slope formula:

m = (y2 - y1)/(x2 - x1)

m = [1 - (-1)] /(0 - 2)

m = (1 + 1)/ -2

m = 2/-2 = -1

Therefore, the slope, m = -1.

Next, the y-intercept is the y-coordinate of the point (0, b) where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.

The ordered pair, (0, 1) represents the y-intercept. Its y-coordinate is the value of b = 1.

Therefore, the linear equation of the graph in slope-intercept form is:

y = -x + 1

ABC is an equilateral triangle drawn on side BC of square BCDE prove that AE=AD

Answers

Answer:

in the picture

Step-by-step explanation:

in the picture

What is the slope of the line shown?

Answers

Answer:

m=-2/-1 or m=-2

Step-by-step explanation:

Find two points on the line, then use this formula:  m=rise/run  or m=y2-y1/x2-x1

m=0- 2/-3-(-2)

m=-2/-1 or m=-2

Write the equation.Please help

Answers

y = 3x is the answer
I did the math

Solve the quadratic equation
d²-5d+6=0

Answers

Answer:

BBC

Step-by-step explanation:

Answer:

d = 6       d = -1

Step-by-step explanation:

Use displacement to factor

d²-5d+6=0

d²+d-6d-6=0

d(d+1)-6(d+1)=0

(d-6)(d+1)=0

d-6=0 or d+1=0

d = 6       d = -1

Which function has a domain of {all real values of x : x does not equal 1)? **Hint: Graph the function and look for an asymptote where x does not equal 1.

See attached below..

Please help, I need an explanation because I don’t understand how this works.

Answers

Uhhh… this is a bad question. Because technically, none of those is the true correct answer. However, the only answer that it COULD be is B. If you were to plug in 1 into B, you’d get 0 in the denominator which creates an asymptote in the graph. None of the other three have this property

(Just a side rant, the reason none of them are technically correct is because x cannot equal -1 either… just some bonus points you could redeem with your teacher if you feel like it)

Can someone tell me the answer to this please

Answers

Answer:

132°

Step-by-step explanation:

Because the triangle is isosceles, the two base angles are the same. This means that two angles in the triangle are 24°

24 + 24 + ∠PON = 180° - first, simplify this

48 + ∠PON = 180° - now, subtract 48 from both sides

∠PON = 132°

Hope this helps!

A line has a slope of 9 and passes through the point (0, 5). What is its equation in slope -intercept form?

Answers

Answer:

y = 9x + 5

Step-by-step explanation:

Slope = m = 9

(0 , 5)

Slope intercept form: y = mx + b

y = 9x + b

Plugin x = 0 and y = 5

5 = 0 + b

b = 5

y = 9x + 5

If p = -2 then 4p^3 = ? ​

Answers

Answer:

ok the answer is 2/p4

Step-by-step explanation:

What’s does 120$ plus 40% mean

Answers

Answer:

ur suppose to find how much it is after the discount so for example in question 1 the discount is 40% so subtract that from 100% to get 60% then multiply this 60% by the origanial vaule which is 120 so for the answer for question 1 would be 72. Also when multiplying 60% u dont multiply by 60 u multiply it by 0.6

Hope this help and sry for the bad grammar

1. Line a passes through points (-2, 1) and (2, 9). Write an equation in slope intercept form that is parallel to line a. Show your work.​

Answers

Answer:

The answer is y=ax+9−2a i think

What even is this? Did my teacher have a typo?
56\pi +67i\leq +23

Answers

Answer: it's not a typo its a formula

hope this helps

brainliest?

Mamadou has a points card for a movie theater.
He receives 55 rewards points just for signing up.
He earns 7.5 points for each visit to the movie theater.
He needs at least 100 points for a free movie ticket.

Write and solve an inequality which can be used to determine
v
v, the number of visits Mamadou can make to earn his first free movie ticket.

Answers

Answer:

Inequality: 7.5v+55≥100

Answer: v≥6

Step-by-step explanation:

Have a good day :)

The inequality for the given situation is 7.5v+55≤100.

Given that, Mamadou receives 55 rewards points just for signing up. He earns 7.5 points for each visit to the movie theater. He needs at least 100 points for a free movie ticket.

What is an inequality?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The number of visits Mamadou can make to earn his first free movie ticket is v.

The inequality for the given situation is 7.5v+55≤100

Subtract 55 on both the sides of inequality.

That is, 7.5v+55-55≤100-55

⇒ 7.5v≤45

⇒ v=45/7.5

⇒ v=6

Therefore, the inequality for the given situation is 7.5v+55≤100.

To learn more about the inequality visit:

https://brainly.com/question/20383699.

#SPJ5

Write the slope intercept form of the equation of the line through the given point with the given slope.

(0,-1), slope=3

Answers

Step-by-step explanation:

y=mx+c

-1=3(0)+c

c=-1

y=3x-1

A woman places a laser pointer on the ground and shines it at the top of a lamp post. She then
stands between the laser and the lamp post so the laser just barely touches the top of her head.
The woman, the lamppost, the laser, and the ground combine to form two similar right triangles.
She is standing 2.4 meters away from the lamppost and 2.1 meters from the laser. If the woman
is 1.8 meters tall, how tall is the lamppost?

Answers

B you need b b is the hey to everyone 2x2 6x6

6. What might be the opportunity cost of a large portion of your income going toward credit
card payments each month?

Answers

You might miss out on things you would want to buy .

Solve for x step by step

Answers

Answer:

n=11

Step-by-step explanation:

n+5/-16=-1, multiply both sides by -16

n+5=16, subtract 5 from both sides

n=11

Neisha ate 1/3 of her birthday cake. If her 3 younger siblings divided the rest equally, what fraction of the cake did they each get?

Answers

Answer:

2/9 each

Step-by-step explanation:

2/3 would be left from neisha, therefore 2/3 divided by three = 2/9.

3y-6 = y+4 solve HELLLLKPPP

Answers

so first -y which is 2y-6= 4 so then +6 which makes 2y = 10 then divide by 2 which gives y = 5

Eva
Evaluate each expression
1/5
(252)
-5
COMPLETE
27
27
DONE

Answers

Answer:

9

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Exact Form:

9

which aglae has a lager mass at 3 hours in kilograms

Answers

Answer:

A) The blue algae has 12 kg more mass at 3 hours.

B) The green algae has 12 kg more mass at 3 hours.

C) The blue algae has 36 kg more mass at 3 hours.

D) The green algae has 36 kg more mass at 3 hours

Volume can be found by using the formula: volume = lwh.l = 4, w = 8, and h = 5Volume =

Answers

Answer:

160=volume

Step-by-step explanation:

if l*w*h=volume, and l=4, w=8, and h=5. then we can get an equation:

4*8*5=volume

simplify to get your answer

160=volume

FEAR OF CLOWNS When you see a clown, what do you feel? You feel happy and ready to laugha, right? That's because we know that clowns make jokes, do funny antics and perform tricks to make us laugh. But did you know that there are people who tremble with fear when they see a clown?
These people have an unnatural fear of clowns. To know what this phobia is called:
Directions: Encircle the CORRECT LETTER. Then write the correct letter on the blank below. Determine the equation of a line passing through the following points. Use another sheet of paper for the solution. ​

Answers

Answer:

Coulrophobia

Step-by-step explanation:

Coulrophobia

You have a garden ABCD that you decide to move to another
location and enlarge afterwards to become A"B"C"D", as shown. The axes have a
scale in meters. Write the translation rule in the form (x+h, y+k) to show how the
garden has been moved.

b. Determine the scale factor used to enlarge the garden

Answers

Answer: no

Step-by-step explanation: no

Answer:

scale enlargement of 1 1/2 (  x+5, y+3)  

Step-by-step explanation:

Help pleaseeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

I have to say this problem is poorly worded.

the answer they're looking for is 8, I believe.

they defined t(x) twice!

Chu kỳ của hàm số y=sin 4 là:

Answers

tính bằng công thức 2pi/|b| => 2pi/|4|=>chu kì : pi/2

10 yd
5 yd
7 yd
2 yd
Perimeter:
Area:

Answers

Answer:

p= 24

a=50

Step-by-step explanation:

p= rectangle l+b+l+b or square l+l+l+l

a= rectangle lxb or square lxl

Maya is saving money to buy a game. So far she has saved $6, which is two-thirds of the total cost of the game. How much does the game cost?

Answers

Answer:

9 dollars

Step-by-step explanation:

Since 6 is 2/3 of the total price, and half of 6 is 3, add three to 6 and you get 9.

Answer:

9 dollars

Step-by-step explanation:

if 6 dollors==>2/3from the game totall price

1 complete game how much

6÷2/3=9dollars

Which of the following represents the equation of a line that is parallel to 2y-x=16 and passes through the
point (-6, 1)?

Answers

The correct equation would be Y=1/2x+4 :)

This is true because both equations have the same slope therefore they are parallel and the equation above also includes point (-6,1).

The equation of a line that is parallel to (2y - x = 16) and passes through the  point (-6, 1) is [tex](y - 1)=0.5(x+6)[/tex] and this can be determined by using the slope-intercept form of the line.

Given :

Line Equation -- 2y - x = 16Point  --  (-6,1)

First, convert the given line in slope-intercept form that is in the form of (y = mx + c).

2y = x + 16

[tex]y = \dfrac{1}{2}x +16[/tex]

Comparing the above equation with slope-intercept form.

m = 0.5

c = 16

The line parallel to the line (y = 0.5x + 16) means the slope of that line is also equal to 0.5.

The equation of the line whose slope is m and passing through the point [tex](x_1,y_1)[/tex] is given by:

[tex](y-y_1) = m(x-x_1)[/tex]

Now, put the value of slope m and point [tex](x_1,y_1)[/tex] in the above equation.

[tex](y - 1)=0.5(x+6)[/tex]

So, the equation of a line that is parallel to (2y - x = 16) and passes through the  point (-6, 1) is [tex](y - 1)=0.5(x+6)[/tex].

For more information, refer to the link given below:

https://brainly.com/question/21835898

George is looking at stock market charts. He can buy a collection of stocks for 6 shares for $618. How much would it be for 11 shares?

Answers

....................
Other Questions
An untitled map of Europe showing the spread of the bubonic plague by marine routes. In 1347 the bubonic plague followed marine routes, spreading to nearly all countries along the coast by 1348. The plague spread further inland between 1348 and 1351.Study the map. By which year had the bubonic plague spread through almost all of the European countries bordering the Mediterranean Sea?1347134813501351 9- Where did Rutherford propose that most of the mass of an atomresided?a) In the middle of the atomb) Along the edge of the atomc) Scattered throughout the atomd) Orbiting around the atom What is rationalism?a way of thinking that places importance on humansthe view that ideas should be based on reason and logica belief that religious beliefs can be blended with scientific ideasthe theory that a force must be applied to start or stop an objectI already know the answer the view that ideas should be based on reason and logic so use this answer to get points Describe and analyze the character of Judy Jones and compare her character with that of Dexter greens Find the measure of the missing angles The next question refers to the written dialogue that follows. The paragraphs have been numbered to help you identify them more easily. Ellie sighed as she petted her cat. I cant believe this storm, she said. We should be surfing, and were stuck on the couch!Well just have to figure out something else to do. said Sam.Ive got it! shouted Ellie. If we leave now, we can see the new surf film at noon then hit the surf museum and look at old surfboards.Youre pretty smart for a little sister, said Sam. Ill ask mom if we can borrow the car!Which paragraph features dialogue that is incorrectly punctuated? i have a big bump in my right b00b what is it im 13 Why had General Zaroff become bored with hunting, and what did he do to solve the problem?Question 3 options:i am in k12 pls help me What is the value sin?12/1313/55/125/13 Need help!!!!!!! Please 1. What is a racial purist?2. What is a Nativist?3. What was the Asian Exclusion Act? What made it unique/ one of a kind? hhhhhhhhhhhheeeeeeeelllllllllllpppppppppppp me Which of thesentences belowuses the Imperfecttense?A. Hubo un accidente, un choque terrible.B. Los conductores estaban muy nerviosos.C. Por la adrenalina. Triangle EFG is congruent to triangle JKL.What is KL, in units? Suppose you did the lab and someone came and said your unknown acid sample wasactually HCl instead of H2SO4. Everything else remains the same; the standard acid was H2SO4,the base was NaOH. What would change in your final calculation of the unknown acidconcentration Please solve... I will mark you brainliest 1. Ai l ngi t nn mng cho di truyn hcA. Men enB. MoocganC. NewtonD. Anhxtanh how does conflict theory respond to issues left unattended by functionalism? Do parents have different rules, standards or hopes for their sons than for their daughters? Why or why not, give an example. Express as a trinomial.(x-5)(3x-6)(x5)(3x6)