Answer:
g = 6
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to 2
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (10, g) and (x₂, y₂ ) = (9, 4)
m = [tex]\frac{4-g}{9-10}[/tex] = [tex]\frac{4-g}{-1}[/tex] = 2 ( multiply both sides by - 1 )
4 - g = - 2 ( subtract 4 from both sides )
- g = - 6 ( multiply both sides by - 1 )
g = 6
