Which ordered pairs are a solution of the equation: y = –3x – 2? (Circle all of the correct ordered pairs [more than one pair may be correct])
(0, –2)
(1, 5)
(5, –35)
(–3, 7)
The ordered pairs that are solutions of the equation y = -3x - 2 are:
(0, -2)
(1, 5)
(5, -35)
To determine which ordered pairs are a solution of the equation y = -3x - 2, we need to substitute the x and y values of each pair into the equation and check if the equation holds true.
Let's go through each ordered pair:
1. (0, -2)
Substitute x = 0, y = -2 into the equation:
-2 = -3(0) - 2
-2 = 0 - 2
-2 = -2
The equation holds true, so (0, -2) is a solution.
2. (1, 5)
Substitute x = 1, y = 5 into the equation:
5 = -3(1) - 2
5 = -3 - 2
5 = -5
The equation does not hold true, so (1, 5) is not a solution.
3. (5, -35)
Substitute x = 5, y = -35 into the equation:
-35 = -3(5) - 2
-35 = -15 - 2
-35 = -17
The equation does not hold true, so (5, -35) is not a solution.
4. (-3, 7)
Substitute x = -3, y = 7 into the equation:
7 = -3(-3) - 2
7 = 9 - 2
7 = 7
The equation holds true, so (-3, 7) is a solution.
Based on these calculations, the ordered pairs that are solutions of the equation y = -3x - 2 are (0, -2) and (-3, 7).