Answer :

Answer:

B

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (7, 5) and (x₂, y₂ ) = (- 4, - 1)

m = [tex]\frac{-1-5}{-4-7}[/tex] = [tex]\frac{-6}{-11}[/tex] = [tex]\frac{6}{11}[/tex]

Use either of the 2 points for (a, b)

Using (a, b) = (- 4, - 1), then

y - (- 1) = [tex]\frac{6}{11}[/tex]( x - (- 4)), that is

y + 1 = [tex]\frac{6}{11}[/tex](x + 4)

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