Question

Write an inequality to represent the graph?


`y > (2)/(5)x - 3`

`y < (2)/(5)x - 3`

`y > (5)/(2)x - 3`

`y < (5)/(2)x - 3`
which one is it 1,2,3,or 4 one ​

Answer 1

`\large\boxed{y>(5)/(2)x-3}`

Explanation:

<, > - dotted line

≤, ≥ - solid line

<, ≤ - shaded region below the line

>, ≥ - shaded region above the line

We have dotted line (<, >) and shaded region above the line (>, ≥).

Therefore your answer is:

`y>(2)/(5)x-3` or
`y>(5)/(2)x-3`

Calculate the slope.

The formula of a slope:

`m=(y_2-y_1)/(x_2-x_1)`

Put the coordinates of the given points from the graph:

(0, -3) and (2, 2):

`m=(2-(-3))/(2-0)=(5)/(2)`