Question

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

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

Answer 1

you can subtract one point from the other to determine the slope with

Answer 2

G(4, 6)
-H(1, 5)
--------
(3,1) ; stack y/x for slope

Answer 3

if we keep this at the origin; we end up with a line\[y=\frac13x\]\[3y=x\]
\[x-3y=0\]
the problem is, this is a parallel line to the one we want, since we subtracted 1,5 from the point 4,6 to get here ....lets subtract 1,5 from ALL the points
\[(x-1)-3(y-5)=0\]and simplify as needed

Answer 4

alright, thank you !!

Answer 5

youre welcome, and good luck