- Answer: Second graph.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
[tex]y=mx+b[/tex]
Where "m" is the slope of the line and "b" is the y-intercept.
So, the lines of this system are:
1) [tex]y= 2x + 1[/tex]
Where:
[tex]m=2\\b=1[/tex]
2) [tex]y=2x- 2[/tex]
Where:
[tex]m=2\\b=-2[/tex]
Notice that:
- Since both lines have the same slope, they are parallel.
- The symbol of the first inequality is [tex]\geq[/tex] . This indicates that the line is solid and the shaded region must be above the line.
- The symbol of the second inequality is [tex]\leq[/tex] . This indicates that the line is solid and the shaded region must be below the line.
Therefore, the second graph represents the system of linear inequalities.
