Respuesta :

The value of y is 25/3

Step-by-step explanation:

Given

(x1,y1) = (2,5)

(x2,y2) = (7,y)

And

slope = m = 2/3

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Putting the values

[tex]\frac{2}{3} = \frac{y-5}{7-2}\\\frac{2}{3} = \frac{y-5}{5}\\\frac{2}{3} * 5 = y-5\\\frac{10}{3} = y - 5\\y = \frac{10}{3} +5\\y = \frac{10+15}{3}\\y = \frac{25}{3}[/tex]

The value of y is 25/3

Keywords: Slope, lines

learn more about slope at:

  • brainly.com/question/1418853
  • brainly.com/question/1414350

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