Which equation, in point-slope form, represents a line with m= -4/7 that goes through the point (-1, 4)?
a) y-4= -4/7(x+1)
b) y+1= -4/7(x-4)
c) y-1= -4/7(x+4)
d) y+4= -4/7(x-1)
and how did you get that answer

A is the correct answer.

Point Slope Form: y - y₁ = m(x - x₁)

m = slope ⇒ -4/7
Coordinate: (-1  ,  4)
                       x₁    y₁

All you have to do is plug in all of the information above into the formula.

y - 4 = -4/7(x +1)