Answer:
see explanation
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
To calculate m use the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (5, - 2) and (x₂, y₂ ) = (3, 6)
m = [tex]\frac{6+2}{3-5}[/tex]= [tex]\frac{8}{-2}[/tex] = - 4
Using (a, b) = (5, - 2), then
y + 2 = - 4(x - 5) ← third on list
-----------------------------------------------
Using (a, b) = (3, 6), then
y - 6 = -4(x - 3)
