Use the table to answer the question

Y. X
-5. 0
0. 5
2. 7

Which linear equation represents the non-propositional linear relationship

1 answer

To find the linear equation representing the non-proportional relationship between X and Y, we can calculate the slope of the line using two of the given points.

Let's use the points (0,5) and (7,2) to calculate the slope:

Slope = (y2 - y1) / (x2 - x1)
Slope = (2 - 5) / (7 - 0)
Slope = -3 / 7

Now that we have the slope, we can use the point-slope form of a linear equation to write the equation:

y - y1 = m(x - x1)

Using the point (0,5):

y - 5 = -3/7(x - 0)
y - 5 = -3/7x
y = -3/7x + 5

Therefore, the linear equation representing the non-proportional relationship is:
y = -3/7x + 5