Given inequality : [tex]y\geq 2-2x[/tex]
To find the x and y intercepts, let's replace the inequality sign with equal to sign.
[tex]y=2-2x[/tex]
To find the x- intercept, plug y = 0
[tex]0=2-2x\\2x=2\\x=1[/tex]
x- intercept = ( 1,0)
To find the y- intercept, plug x=0
[tex]y=2-2(0)\\y=2[/tex]
y- intercept = (2,0)
Since the given inequality is [tex]\geq[/tex] , the line will be solid and the shaded region will be above the line.
Hence, option D is correct.
Answer:
The given function is
y≥2-2x
Writing this inequality in equation form and then in slope intercept form
[tex]y=2-2x\\\\2x+y=2\\\\\frac{2x}{2}+\frac{y}{2}=1\\\\ \frac{x}{1}+\frac{y}{2}=1[/tex]
Option D
Graph of a solid line on a coordinate plane. The horizontal x axis ranges from negative 5 to 5 in increments of 1. The vertical y axis ranges from negative 5 to 5 in increments of 1. A solid line passes through begin ordered pair 1 comma 0 end ordered pair and begin ordered pair 0 comma 2 end ordered pair. The region above the solid line is shaded.
