Given the equation:
y = -3x - 15
Let's find the solution from the given choices.
Let's take each point given and input for the values of x and y, if the equation is true after evaluating, then that point is the solution.
• (a) (x, y) ==> (-4, 1)
Substitute -4 for x and 1 for y in the equation;
y = -3x - 15
1 = -3(-4) - 15
1 = 12 - 15
1 ≠ -3
This equation is not true, therefore (-4, 1) is NOT a solution.
• (b). (x, y) ==> (-5, 1)
Substitute -5 for x and 1 for y in the equation:
y = -3x - 15
1 = -3(-5) - 15
1 = 15 - 15
1 ≠ 0
This equation is not true. Therefore, (-5, 1) is NOT a solution.
• (c). (x, y) ==> (-3, -6)
Substitute -3 for x and -6 for y in the equation:
y = -3x - 15
-6 = -3(-3) - 15
-6 = 9 - 15
-6 = -6
This equation is true. Therefore, (-3, -6) is a correct solution.
• (d). (x, y) ==> (-4, -6)
Substitute -4 for x and -6 for y.
y = -3x - 15
-6 = -3(-4) - 15
-6 = 12 - 15
-6 ≠ -3
This equation is not true. Therefore, (-4, -6) is not a solution.
From the evaluation of the different points given, we can see only the point (-3, -6) makes the equation true.
Therefore, the correct choice is (-3, -6).
ANSWER:
(-3, -6)