Question

Which linear inequality is represented by the graph?

Oy>2/3x-2
O y<2/3x+2
Oy> 2/3x+1
Oy<2/3x1

Answer 1

D

Explanation:

Correct:)

Answer 2

Option (4)

Explanation:

From the graph attached,

A dotted line passes through two points (3, 1) and (-3, -3)

Let the equation of the given line is,

y = mx + b

where 'm' = slope of the line

b = y-intercept

Slope of a line passing through
`(x_1, y_1)` and
`(x_2,y_2)` is,

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

For the given points,

m =
`(1+3)/(3+3)`

m =
`(2)/(3)`

y-intercept 'b' = -1

Therefore, equation of the given line will be,

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

Since graphed line is a dotted line so it's representing an inequality(having < or > sign)

And the shaded part is below the dotted line,

Inequality will be,

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

Therefore, Option (4) will be the answer.