Answer:
(-1, -5) satisfies the inequality and will be the solution to the inequality.
From the attached figure, it is clear that (-1, -5) is below the line.
Therefore, the correct option is:
''Yes, because 1-1, 5) is on the line''.
Step-by-step explanation:
Given the inequality
[tex]y\le -\frac{3}{4}x-1[/tex]
substituting (-1, -5) to check whether it satisfies the inequality or not
[tex]-5\le \:-\frac{3}{4}\left(-1\right)-1[/tex]
[tex]-5\:\le \:\frac{3}{4}-1[/tex]
[tex]-5\:\le -\frac{1}{4}[/tex]
TRUE
Thus, (-1, -5) satisfies the inequality and will be the solution to the inequality.
From the attached figure, it is clear that (-1, -5) is below the line.
Therefore, the correct option is:
''Yes, because 1-1, 5) is on the line''.
