Question

a table of values of a linear function is shown below. find the output when the input is n. type your answer in the space provided.
input 1 2 3 4 n
output 2 0 -2 -4
(there are also some operation buttons like +, -, ×, ÷ and reset, cancel buttons)

Explanation:

Step1: Find slope of linear function

Slope $m = \frac{\text{Change in output}}{\text{Change in input}} = \frac{0-2}{2-1} = -2$

Step2: Find y-intercept (b)

Use input $x=1$, output $y=2$ in $y=mx+b$:
$2 = -2(1) + b$
$b = 2 + 2 = 4$

Step3: Write linear function

Substitute $m=-2$, $b=4$ into $y=mx+b$:
$y = -2n + 4$

Answer:

$\boldsymbol{-2n + 4}$