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