Respuesta :

Answer:

b = [tex]\frac{85}{6}[/tex]

Step-by-step explanation:

y = mx + b ( m is the slope and b the y- intercept )

given m = - 5 , then

y = - 5x + b

to find b substitute (3, - [tex]\frac{5}{6}[/tex] ) into the equation

- [tex]\frac{5}{6}[/tex] = - 15 + b ( add 15 to both sides )

- [tex]\frac{5}{6}[/tex] + 15 = b

- [tex]\frac{5}{6}[/tex] + [tex]\frac{90}{6}[/tex] = b , that is

b = [tex]\frac{85}{6}[/tex]

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