Question

The boundary line for the linear inequality goes through the points (-6,-4) and (3,-1). The point (9,1) is not a solution to this inequality and neither is (-4,7). Write and graph an inequality to represent the situation.

Answer 1

y <
`(1)/(3)` x - 2

Explanation:

Slope of the line m =
`(-4+1)/(-6-3)` =
`(1)/(3)`

y + 1 =
`(1)/(3)` (x - 3)

y =
`(1)/(3)` x - 2

Points (9, 1) and (- 4, 7) are not solutions, then

1 <
`(1)/(3)` (9) - 2

7 <
`(1)/(3)` (- 4) - 2

Thus, the inequality is y <
`(1)/(3)` x - 2