Question

Fill in the missing numbers to complete the linear equation that gives the rule for this table.x: 1, 2, 3, 4y: 8, 28, 48, 68Y = ?x + ?

Answer 1

we have a table that describe the line and we need to finde the slope and the intercept with the y axis, so the slope can be found with this equation:

`m=(y_2-y_1)/(x_2-x_1)`

So I use the numbers in the table to fill the equation so:

`\begin{gathered} m=(28-8)/(2-1) \\ m=(20)/(1) \\ m=20 \end{gathered}`

now for the intercept we replace x=0 and use the coordinate (1,8) so:

`20=(y-8)/(0-1)`

and we solve for y so:

`\begin{gathered} -20=y-8 \\ -20+8=y \\ -12=y \end{gathered}`

So the equation is:

`y=20x+(-12)`