Answer:
D. The relationship is linear; y – 5 = 2(x + 7).
Step-by-step explanation:
The correct answer is:
The relationship is linear, and the equation is
y-5 = 2(x+7).
Explanation:
To determine if the relationship is linear, we find the slope between each pair of points. Slope is given by the formula:
The slope between the first two points is given by:
The slope between the second pair of points is given by:
The slope between the third pair of points is given by:
Since the slope is the same throughout the data, the relationship is linear and the slope is 2.
To write the equation, we use point-slope form, which is:
y-y₁ = m(x-x₁)
Using the first point, we have:
y-5 = 2(x--7)
y-5 = 2(x+7)
The answer is The relationship is linear; y - 5 = 2(x + 7).
