Respuesta :

gmany
y = mx + b

[tex](3;\ 2)\to x_1=3;\ y_1=2\\\\(5;\ 8)\to x_2=5;\ y_2=8\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\to m=\dfrac{8-2}{5-3}=\dfrac{6}{2}=3[/tex]

Therefore we have: y = 3x + b.

Put the coordinates of the point (3; 2) to the equation of the line:

[tex]2 = 3\cdot3+b\\2=9+b\ \ \ |-9\\b=-7[/tex]

Therefore we have: y = 3x - 7

Substitute the coordinates of the point (8; y) to the equation of the line:

[tex]y = 3\cdot8-7=24-7=17[/tex]

Answer: y = 17.

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