Question

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 given inequality y ≤ (-3/4) x - 1

We should first find the solution of the given inequality and compare the solution to the point (-1,-5)

First: get the solution of the inequality

to get the solution we need to graph the line y = (-3/4) x - 1

the solution will become the area below the line y = (-3/4) x - 1

see the attached figure

Second: compare the solution to the point (-1,-5)

as shown in the figure we will find that the point (-1,-5) is in the shaded area which represent the solution of the inequality

So, the correct choice is ⇒ Yes, because (−1, −5) is below the line