Question

Another question. Please help.

Answer 1

`y = - (8)/(5)x + 8`

Answer 2

y = -
`(5)/(3)` x + 8

Explanation:

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 =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (3, 3) and (x₂, y₂ ) = (6, - 2) ← 2 points on the line

m =
`(-2-3)/(6-3)` =
`(-5)/(3)` = -
`(5)/(3)`

the line crosses the y- axis at (0, 8 ) ⇒ c = 8

y = -
`(5)/(3)` x + 8 ← equation of line