Respuesta :

Answer:

3rd option is correct

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Answer:

option c

Step-by-step explanation:

Linear equation in slope intercept form: y = mx +b

m is slope and b is y-intercept.

m = 5/6

[tex]y=\dfrac{5}{6}x+b\\[/tex]

The point P(-6 ,-2) passes through the line. So, plugin s and y values in the above equation.

[tex]-2=\dfrac{5}{6}*(-6)+b\\\\\\-2= -5 + b\\\\-2 + 5 = b\\[/tex]

b = 3

Equation of the line:

[tex]y=\dfrac{5}{6}x+3[/tex]