Answer:
is not possible
Step-by-step 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
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
step 1
Find the slope ab
we have
a = (12 ,21) and b =(17,23)
substitute
[tex]m=\frac{23-21}{17-12}[/tex]
[tex]m=\frac{2}{5}[/tex]
step 2
Find the slope ac
we have
a = (12 ,21) and c =(3,9)
substitute
[tex]m=\frac{9-21}{3-12}[/tex]
[tex]m=\frac{-12}{-9}[/tex]
simplify
[tex]m=\frac{4}{3}[/tex]
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
