Question

I REALLY NEED HELP ON MY EXAM! 10PTS
Determine if the ordered pair (−1, −5) is a solution to the inequality y is less than or equal to negative three fourths times x minus 1.

No, because (−1, −5) is above the line
Yes, because (−1, −5) is below the line
No, because (−1, −5) is on the line
Yes, because (−1, −5) is on the line

Answer 1

Yes, because (−1, −5) is below the line

Explanation:

The statement says:

y is less than or equal to negative three fourths times x minus 1:

$y\leq -\frac{3}{4}x-1$

To know whether (−1, −5) is a solution to the inequality, let's substitute x and y-values into the inequality:

$y\leq -\frac{3}{4}x-1 \\ \\ -5\leq -\frac{3}{4}(-1)-1 \\ \\ -5\leq -\frac{1}{4} \\ \\ -20\leq -1 \ True!$

Given that the point lies on the shaded region, which is below the line, then the correct statement is:

Yes, because (−1, −5) is below the line

The graph of this problem is shown below.

Learn more:

Solution to inequalities: https://brainly.com/question/9611462

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