Which point is a solution to the inequality shown in this graph? (0,-3)(5,0)

ANSWER

(0,-3)

EXPLANATION

The point which is a solution to the inequality must lie in the solution region ( the shaded region)

Also the boundary line is solid. This means that any point on the boundary line is a solution.

(6,0) zero falls outside the shaded region.

(5,-5) is also not in the shaded region.

(0,-5) is also not in the shaded region.

(0,-3) lies on the boundary line therefore it is a solution.

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