Question

estamos construyendo una carretera que enlace los puntos a = 12 ,21 y b =(17,23) otro punto se encuentra en c =(3,9) es posible que una unica carretera permita unir estos tres puntos

Answer 1

is not possible

Explanation:

The question in English is

we are building a road that links the points a = (12 ,21) and b =(17,23) another point is in c =(3,9) it is possible that a single road allows to join these three points?

we know that

The formula to calculate the slope between two points is equal to

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

step 1

Find the slope ab

we have

a = (12 ,21) and b =(17,23)

substitute

`m=(23-21)/(17-12)`

`m=(2)/(5)`

step 2

Find the slope ac

we have

a = (12 ,21) and c =(3,9)

substitute

`m=(9-21)/(3-12)`

`m=(-12)/(-9)`

simplify

`m=(4)/(3)`

step 3

Compare slopes ab and ac

The slopes are different

That means ----> is not possible that a single road allows to join these three points