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Can someone please help me:

Can someone please help me:-example-1
User Shirelle
by
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1 Answer

3 votes

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

let (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

substitute these values into the formula for m

m =
(0-(-4))/(4-0) =
(0+4)/(4) =
(4)/(4) = 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

User Kvark
by
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