Is the relationship shown by the data linear? if so, model the data with an equation. x y –7 5 –5 9 –3 13 –1 17 the relationship is linear; y – 5 = mc019-3.jpg(x + 7). the relationship is linear; y + 7 = mc019-1.jpg(x – 5). the relationship is not linear. the relationship is linear; y – 5 = mc019-2.jpg(x + 7).

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)