Use point slope form to write an equation of the line through the the given point. Then write the final answer in point slope form

Very arty photograph with the hands reflecting.  I like it.

I prefer point point form, the line through (a,b) and (c,d) is

(c - a)(y - b) = (d - b)(x - a)

This is really the same as point slope form, without the awkward possibility of divsion by zero,

y - b = m (x -a ) where m = (d - b) / (c - a)

Join of (-1, 6) and  (1,-4)

m = (-4 - 6)/(1 - -1) = -10/2 = -5

y - 6 = -5(x - -1)

y = -5x + 1

check: -5(-1)+1=5+1=6, good,   -5(1)+1=-5+1=-4, good