Answer:
g = 6
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to 2
m = 
with (x₁, y₁ ) = (4, - 7 ) and (x₂, y₂ ) = (g, - 3 )
m =
=
=
, then
= 2 ( multiply both sides by g - 4 )
4 = 2(g - 4) ← divide both sides by 2
2 = g - 4 ( add 4 to both sides )
6 = g