Answer:
w = 5
Step-by-step explanation:
using the gradient formula for slope m
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (6, - 1 ) and (x₂, y₂ ) = (w, 7 )
m = [tex]\frac{7+1}{w-6}[/tex] = [tex]\frac{8}{w-6}[/tex] = - 8 ( cross- multiply )
- 8(w - 6) = 8
- 8w + 48 = 8 ( subtract 48 from both sides )
- 8w = - 40 ( divide both sides by - 8 )
w = 5
