Question

Write an inequality for the given graph. Picture above (Please Help!!)

Answer 1

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

Explanation:

We will find the equation of the dotted line first.

Let the equation of the line is,

y = mx + b

Here, m = slope and b = y-intercept of the line

Slope 'm' =
`\frac{\text{Rise}}{\text{Run}}`

m =
`(3)/(6)`

m =
`(1)/(2)`

Y-intercept 'b' = -3

Therefore, equation of the line is,

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

Since, this line is a dotted line, it will represent an inequality with notation of less than or greater than (< or >)

Since, solution area (shaded area) of this inequality is below the line inequality will be,

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