Question

Indicate in standard form the equation of the line passing through the given points.

G(4, 6), H(1, 5)

Answer 1

line equals (1,-3)

Answer 2

this is the easiest way based on the fact that for
Ax + By + C = 0, the slope is -A/B

slope of line is (6-5)/(4-1) = 1/3

so the equation must be
x - 3y + c = 0
plug in (1,5)
1-15 + c = 0
c = 14

so x - 3y + 14 = 0

from there you can change it to any form that was asked for