Question

(-4, 2) and if the y-int =-3

Answer 1

y = -
`(5)/(4)` x - 3

Explanation:

Assuming you require the equation of a line

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 ) = (- 4, 2 ) and (x₂, y₂ ) = (0, - 3 )

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

given y- intercept = - 3 , then c = - 3

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