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output = -1n + 7 or  -n + 7

n can represent any number.

Step-by-step explanation:  using the slope-intercept form y = mx + b

y is the output. x is any input.  m is the slope.  b is the constant.

Calculate the slope:  rise ÷ run  

You see all the inputs in the chart are going up by 1. This is the run +1

You see all the outputs going down by 1.   This is the rise:  -1

So the slope, m,  is rise / run . -1/1 =  -1

To find the constant, use the slope with any pair of inputs and outputs from the chart in place of y and x in the slope-intercept equation.

y = mx + b  becomes   6 = -1(1) + b . Solve for b

6 = -1 + b

6 +1 = -1 +1 + b

7 = b

Now set up the equation that answers the question using the calculated values of m and b.

y = -1(x) + 7 . We can answer the question with this equation rewritten a bit:

Output = -1n + 7

or -n + 7  as 1 is usually implied.

x+14

step-by-step explanation: