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Math Asked by a SnapAndSolve user · about 1 hour ago

Which equation shows the linear relationship in the table?

Which equation shows the linear relationship in the table?
x | -2 | -1 | 0 | 1 | 2
-----------------------
y | -34 | -12 | 10 | 32 | 54
y = 10x + 22
y = 22x + 10
y = 22x - 10
y = 10x - 22

Answer

To find the equation that shows the linear relationship, we need to determine the slope and y-intercept from the table.

First, calculate the slope (m):

  1. Using points (0, 10) and (1, 32):
  2. Slope, m = (32 - 10) / (1 - 0) = 22

Now, use the slope and a point to find the y-intercept (b):

  1. Using point (0, 10):
  2. y = mx + b
  3. 10 = 22(0) + b
  4. b = 10

The equation is y = 22x + 10.

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