Answer: 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.
