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Use the table to answer the question
Y. X
-5. 0
0. 5
2. 7
Which linear equation represents the non-propositional linear relationship
Y. X
-5. 0
0. 5
2. 7
Which linear equation represents the non-propositional linear relationship
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Answered by
GPT 3.5
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
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
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