Question

I need help with this question, i have gotten it wrong, please and thank you

Answer 1

y = -
`(3)/(2)` x + 4 is correct

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 ) = (0, 4 ) and (x₂, y₂ ) = (6, - 5 )

m =
`(-5-4)/(6-0)` =
`(-9)/(6)` = -
`(3)/(2)`

the line crosses the y- axis at (0, 4 ) ⇒ c = 4

y = -
`(3)/(2)` + 4 ← equation of line