Write the system of 4 linear inequalities graphed below.

y > 2x - 1

y ≤ 0.5x + 4

Step-by-step explanation:

solid line: (0,4) (-8,0)

m: (0-4)/(-8-0) = -4/-8 = 0.5

b: 4

y = mx + b       y = 0.5x + 4

dotted line: (0,-1) (-2,-5)

m = (-5 - -1)/(-2-0) = 2

b = -1

equation: y = 2x - 1

System: y ≤ 0.5x + 4

            y > 2x - 1

Step-by-step explanation:

it is a. 4.2 because 7.6-3.4 gets the remaining length of 4.2. i might be wrong but i am pretty sure this is the answer.

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b