Answer:
y = -
x + 5
Explanation:
the hypotenuse is the line AB
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m =
with (x₁, y₁ ) = A (0, 5 ) and (x₂, y₂ ) = B (4, 2 )
m =
=
= -
the line AB crosses the y- axis at A (0, 5 ) ⇒ c = 5
y = -
x + 5 ← equation of hypotenuse