Answer:
[tex]y>4x-3[/tex]
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 [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
x1=0, x2=1, y1=-3 and y2=1
slope = [tex]\frac{1+3}{1-0}=4[/tex]
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
[tex]y=4x-3[/tex]
WE have dotted line so we use > or < than symbol
USe test point (0,0), plug in 0 for x and y
[tex]y=4x-3[/tex]
[tex]0=4(0)-3[/tex]
[tex]0=-3[/tex], 0 is greater than -4
So the inequality becomes [tex]y>4x-3[/tex]
