To determine which ordered pair is part of the relation \(y = -\frac{2}{3}x + 6\), we need to plug in the x-value from each ordered pair and see if the equation gives us the corresponding y-value.
Let's check each option:
A. (3, 8)
For x = 3, the equation gives us:
\(y = -\frac{2}{3}(3) + 6 = -2 + 6 = 4\)
Since 4 does not equal 8, option A is not correct.
B. (0, -2/3)
For x = 0, the equation gives us:
\(y = -\frac{2}{3}(0) + 6 = 0 + 6 = 6\)
Since 6 does not equal -2/3, option B is not correct.
C. (3, 4)
For x = 3, the equation gives us:
\(y = -\frac{2}{3}(3) + 6 = -2 + 6 = 4\)
Since 4 equals 4, option C is correct.
D. (1, 4)
For x = 1, the equation gives us:
\(y = -\frac{2}{3}(1) + 6 = -\frac{2}{3} + 6 = \frac{18-2}{3} = \frac{16}{3}\)
Since 16/3 does not equal 4, option D is not correct.
The correct answer is C. (3, 4), as this is the ordered pair that fits the relation \(y = -\frac{2}{3}x + 6\).
Which of the following is an ordered pair of the relation y = -2/3x + 6? (1 point)
A. (3, 8)
B. (0, -2/3)
C. (3, 4)
D. (1, 4)
PLS HELP FAST!
1 answer