Question

Please help as soon as possible!

Answer 1

D, love y= -2/5x+ 36/5

Answer 2

D

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

To calculate m use the slope formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (3, 6) and (x₂, y₂ ) = (8, 4)

m =
`(4-6)/(8-3)` = -
`(2)/(5)`, hence

y = -
`(2)/(5)` x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (8, 4), then

4 = -
`(16)/(5)` + c ⇒ c = 4 +
`(16)/(5)` =
`(36)/(5)`

y = -
`(2)/(5)` x +
`(36)/(5)` ← equation of line