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: 4, 7, 10, 13, blank

Explanation:

Step1: Find slope of linear function

Slope $m = \frac{7-4}{2-1} = 3$

Step2: Find y-intercept (b)

Use input $x=1$, output $y=4$:
$4 = 3(1) + b$
$b = 4 - 3 = 1$

Step3: Write linear function

Substitute $m=3$, $b=1$ into $y=mx+b$:
$y = 3n + 1$

Answer:

$3n + 1$