Write the coordinates as an ordered pair for any point that is a solution to the of inequality graphed below.

Question

asked Jun 17, 2022 90.2k views

1 Answer

Skagedal · Answer 1 · 2022-06-24T02:13:54+0000

Answer:

The inequality that represents the graph must have the following form:

$y > -4\cdot x + 6$

Explanation:

First, we need to determine the equation of the line which represents the "lower" bound of the inequality:

$y = m\cdot x + b$ (1)

Where:

- Independent variable, horizontal axis.

- Dependent variable, vertical axis.

- Slope.

- Intercept.

Given two distinct points of the line, we can solve for both slope and intercept:
(x_(1), y_(1)) = (1, 2) ,
(x_(2), y_(2)) = (0, 6)

m + b = 2 (2)

b = 6 (3)

The solution of the system is:
m = -4 ,
b = 6

Then, the inequation must have the following form:

$y > -4\cdot x + 6$