Zadanie 2. Napisz równanie prostej AB , jeżeli A = ( 3 , 6 ) i B = (–2 , 4 )

Odpowiedź :

Odpowiedź:

y=ax+b

A=( 3; 6), B=(-2; 4)

{6=3a+b

{4=-2a+b

{6=3a+b

{b=2a+4

6=3a+2a+4

-5a=-2

[tex]a = \frac{2}{5} [/tex]

[tex]6 = 3 \times \frac{2}{5} + b[/tex]

[tex]6 = \frac{6}{5} + b[/tex]

[tex]6 - \frac{6}{5} = b[/tex]

[tex] \frac{6}{1} - \frac{6}{5} = b [/tex]

[tex] \frac{30}{5} - \frac{6}{5} = b [/tex]

[tex]b = \frac{24}{5} [/tex]

odp.

[tex]y = \frac{2}{5} x + \frac{24}{5} [/tex]