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=(y2-y1)/(x2-x1)=(84-81)/(4-1)=(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