Question

Using the following graph answer A-C

A) Write the equation of the inequality
B) Is (2,0) a solution of the inequality? Why or why not?
C) Is (4-2) a solution of the inequality? Why or why not?

Answer 1

The answer to your question is below

Explanation:

a) Find to points of the line and find the equation of the line.

A ( 0, -4) B (2, 0)

slope = m =
`(0 + 4)/(2 - 0)`

`m = (4)/(2)`

m = 2

Line equation

(y - y1) = m (x - x1)

(y - 0) = 2(x - 2)

y = 2x - 4

Write the line as an inequality

y ≥ 2x - 4

b) Yes, (2,0) is a solution of the inequality

y ≥ 2x - 4

0 ≥ 2(2) -4

0 ≥ 4 - 4

0 ≥ 0 This is true

c) No, (4, -2) is not a solution.

y ≥ 2x - 4

-2 ≥ 2(4) - 4

-2 ≥ 8 - 4

-2 ≥ 4 This is false