Question

Write an equation in direct variation form that contains the point (-8, -4). i need help asap!!

Answer 1

see explanation

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 =
`(y)/(x)` =
`(-4)/(-8)` =
`(1)/(2)`, hence

y =
`(1)/(2)` x ← equation of variation

Answer 2

y = 1/2 x.

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.