The last one : y - 5 = [tex]\frac{3}{4}[/tex](x - 6)
the equation of a line in point- slope form is
y - b = m(x - a )
where m is the slope and (a, b ) a point on the line
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = A(- 2, - 1 ) and (x₂, y₂ ) = (B(6, 5 )
m = [tex]\frac{5+1}{6+2}[/tex] = [tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex]
using (a, b ) = (6, 5 ), then
y - 5 = [tex]\frac{3}{4}[/tex](x - 6 ) ← in point- slope form
