Respuesta :

Answer:

y = 1/2 x.

Step-by-step explanation:

The graph of the equation will pass through the origin because it is direct variation, and its slope will be -4 /-8 =  1/2.

Therefore the equation is y = 1/2 x.

Answer:

see explanation

Step-by-step explanation:

given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the point (- 8, - 4), that is x = - 8 and y = - 4

k = [tex]\frac{y}{x}[/tex] = [tex]\frac{-4}{-8}[/tex] = [tex]\frac{1}{2}[/tex], hence

y = [tex]\frac{1}{2}[/tex] x ← equation of variation

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