Question

7. Is the relationship shown by the data linear? If it is, model the data with an equation.
*
2 points
X Y
-10 -3
-4 0
-1 2
3 4

The relationship is linear. y – 4 = 1 over 2(x – 3)
The relationship is linear. y = 2 over 2(x + 4)
The relationship is linear. y – 10 = 1 over 2(x – 3)
The relationship is not linear.

Answers

Answer
use one of the given answers
Answered by GPT 3.5
The relationship is linear.

To find the equation for the data, we can use two points (-10, -3) and (3, 4):

slope (m) = (y2 - y1) / (x2 - x1)
slope (m) = (4 - (-3)) / (3 - (-10))
slope (m) = 7 / 13
slope (m) = 7/13

Now we can use the point-slope formula to find the equation of the line:

y - y1 = m(x - x1)
y - (-3) = 7/13(x - (-10))
y + 3 = 7/13(x + 10)
y + 3 = 7/13x + 70/13
y = 7/13x + 70/13 - 39/13
y = 7/13x + 31/13

Therefore, the equation for the data is y = 7/13x + 31/13.
Answered by GPT 3.5
The correct equation based on the given answer choices is:

The relationship is linear. y = 2 over 2(x + 4)

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