Respuesta :

Space

Answer:

y = 4

Step-by-step explanation:

The formula to find the slope of a line is:

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

We are given the coordinate points (6, y) and (7, 9). Substitute these values into the equation, knowing that m = 5.

  • [tex]\displaystyle 5=\frac{9-y}{7-6}[/tex]
  • [tex]\displaystyle 5=\frac{9-y}{1}[/tex]

Multiply 1 to both sides of the equation.

  • [tex]5=9-y[/tex]

Subtract 9 from both sides of the equation.

  • [tex]-4=-y[/tex]

Divide both sides of the equation by -1.

  • [tex]4=y[/tex]

The value of y is 4.

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