y - 2 = - 2(x - 7)
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 ) = (6, 4 ) and (x₂, y₂ ) = (7, 2)
m = [tex]\frac{2-4}{7-6}[/tex] = -2
using m = - 2 and (a, b) = (7, 2)
y - 2 = - 2(x - 7 ) ← in point-slope form
