Question

Write the linear inequality shown in the graph. The gray area represents the shaded region.

Answer 1

`y \geqslant 4x - 3`
Is the answer I think

Answer 2

`y>4x-3`

Explanation:

To find the equation of a line we use y=mx+b

Pick two points from the line to frame the equation

(0,-3) and (1,1)

LEts find out slope m using formula
`(y_2-y_1)/(x_2-x_1)`

x1=0, x2=1, y1=-3 and y2=1

slope =
`(1+3)/(1-0)=4`

b is the y intercept point where the graph crossed y axis

y intercept is (0,-3) so b=-3

m is 4 and b is -3 so the equation of the line is

`y=4x-3`

WE have dotted line so we use > or < than symbol

USe test point (0,0), plug in 0 for x and y

`y=4x-3`

`0=4(0)-3`

`0=-3`, 0 is greater than -4

So the inequality becomes
`y>4x-3`