Use the table to answer the question

x y
-5 0
0 5
2 7
which linear equation represents this nonproportional linear relationship.

1 answer

To find the equation of the line that represents the nonproportional linear relationship between x and y, we can use the formula for the equation of a line:

y = mx + b

where m is the slope of the line and b is the y-intercept.

Using the points (-5, 0) and (0, 5) to calculate the slope:

m = (5 - 0) / (0 - (-5))
m = 5 / 5
m = 1

Now that we have found the slope, we can substitute one of the points into the equation to solve for the y-intercept:

0 = 1(-5) + b
0 = -5 + b
b = 5

Therefore, the linear equation that represents the nonproportional linear relationship is:

y = x + 5
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