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

Answer:

$y>4x-3$

Step-by-step 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 $\frac{y_2-y_1}{x_2-x_1}$

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

slope = $\frac{1+3}{1-0}=4$

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 $y>4x-3$