We can observe that as the value of X increases by 2, the value of Y decreases by 1. This indicates a linear relationship between X and Y, with a slope of -1/2. The equation that represents this relationship is Y = -1/2x + b, where b is the y-intercept.
Substituting the values from the table into the equation, we can find the value of b:
10 = -1/2(2) + b
10 = -1 + b
b = 11
Therefore, the equation that represents the relationship between X and Y is Y = -1/2x + 11.
The correct answer is B. Y = -1/2x + 11.
Two quantities are related, as shown in the table:
X- 2, 4, 6, 8
Y- 10, 9, 8, 7
Which equation represents the relationship.
A. Y=1/2x+11
B. Y=-1/2+11
C.y=2x+10
D. Y=2x+11
1 answer