Question

Write the point-slope form of the equation of the line passing through the points (-5, 6) and (0, 1).

Answer 1

Slope of the line
(6-1) / (-5-0)
5 / -5
-1

General equation of the line
y = -x + c
if this passes through (0,1)
0 = (-1*1) + c
c = 1

so the equation is
y = -x + 1