Answer:
option 1
Step-by-step explanation:
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
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = A(1, 6) and (x₂, y₂ ) = B(5, - 2)
m = [tex]\frac{-2-6}{5-1}[/tex] = [tex]\frac{-8}{4}[/tex] = - 2
Use either of the 2 points for (a, b)
Using (a, b) = (5, - 2) , then
y - (- 2) = - 2(x - 5) , that is
y + 2 = - 2(x - 5)
