Answer:
A : y ≥ x - 4 , B : y ≤ x - 4
Explanation:
the first step is to establish the equation of the line.
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate slope m using the slope formula
m =
let (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (4, 0) ← 2 points on the line
substitute these values into the formula for m
m =
=
=
= 1
the line crosses the y- axis at (0, - 4 ) so y- intercept c = - 4
y = x - 4 ← equation of line
Region A lies above the line
since the line is solid then y can be equal to values on it , then
y ≥ x - 4
Region B lies below the line , then
y ≤ x - 4