Question

Fill in the missing numbers to complete the linear equation that gives the rules for this table.x: 1, 2, 3, 4y: 81, 82, 83, 84y = ?x + ?

Answer 1

y = mx + b

$\begin{gathered} m=\frac{y2-y1}{x2-x1}=\frac{84-81}{4-1}=\frac{3}{3}=1 \\ \end{gathered}$

for b

$\begin{gathered} 81=1(1)+b \\ 81-1=1+b-1 \\ b=80 \end{gathered}$

the equation is

y = 1 x + 80 or y = x + 80