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.

Answer 1

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.

Answer 2

use one of the given answers

Answer 3

The correct equation based on the given answer choices is:

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