Question

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Answer 1

The second choice, y+1=6/11(x+4), is correct.

We first find the slope using the formula

m=(y₂-y₁)/(x₂-x₁)

Using our points, this gives us
m=(-1-5)/(-4-7) = -6/-11 = 6/11

Point-slope form is
y-y₁=m(x-x₁)

Using the first point, we would have
y-5=6/11(x-7)

Using the second point, we would have
y--1=6/11(x--4)
y+1=6/11(x+4)