Question

What is the equation of the solid boundary line?

and can you explain how you solved it?

Answer 1

solid boundary line: y = -1/2 x + 4

shaded area: y ≥ -1/2 x + 4 and y < x+1

Explanation:

solid boundary line pass (0,4) (2,3)

slope (m) = (3-4) / (2-0) = -1/2

y intercept (b) = 4

equation: y = mx + b y = -1/2 x + 4

system: y ≥ -1/2 x + 4

dotted line: (0,1) (2,3)

m = (3-1) / (2-0) = 1

b = 1

equation: y = x + 1

system: y < x+1