Brainlyuser707
Brainlyuser707 Brainlyuser707
  • 07-05-2022
  • Mathematics
contestada

Do the three points lie on one line?
(5,6), (3,2), (6,8)
Also, should I do this on graph paper?​

Respuesta :

zeppieria zeppieria
  • 07-05-2022

Answer:

Yes. No graph paper.

Step-by-step explanation:

Let's say the 3 points are A, B, C.

If A, B and C lie on one line then [tex]m_{AB} = m_{BC} = m_{AC}[/tex]

[tex]m_{AB} = \frac{y_{B}-y_{A} }{x_{B}-x_{A}} = \frac{2-6}{3-5} = \frac{-4}{-2} = 2\\m_{BC} = \frac{y_{C}-y_{B} }{x_{C}-x_{B}} = \frac{8-2}{6-3} = \frac{6}{3} = 2\\\\m_{AC} = \frac{y_{C}-y_{A} }{x_{C}-x_{A}} = \frac{8-6}{6-5} = \frac{2}{1} = 2\\\\[/tex]

Hence, they lie on one line.

You don't need to use a graph paper to prove it.

Answer Link

Otras preguntas

round 9 991 to the nearest thousands
what would give people the right to revolt against their government
Rubely’s college expenses were due soon .she made a budget .she needed to pay $4,367 tuition ,$907 for books and , $110 for the technology fee. She got a $1,500
Why was placed mining the most widely used method of mining for gold
A rock that forms at or near Earth's surface from the cooling of lava is a(n) _____ rock. A. organic B. volcanic C. chemical D. fragmental
f(x)=3x^2+8x+5 find value of f(a)
Which case is “the book” in ? Ich lese das buch jetzt zum fünften mal.
there is a photo attachedtan 270 is incorrect!
If someone receives a shock or piece of equipment is throwing sparks ot arcing you should try to pull them away from the source of the electricity
what is left on a car loan at 5% interest with a balance of 5,527
good job