Question

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

Answer 1

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)

Answer: y = -5x + 1

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