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What is the equation of this table?ху2 84 147y=4txtWhat is the missing value of y in the table when x = 7?

User Steveayre
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1 Answer

14 votes
14 votes

Assuming a linear relationship between X and Y, find the slope of the line to write down an equation of the form:


y=mx+b

where m is the slope of the line and b is the y-intercept.

Take two pairs of values to calculate the slope. Use the pairs (2,8) and (4,14):


\begin{gathered} m=(\Delta y)/(\Delta x) \\ =(14-8)/(4-2) \\ =(6)/(2) \\ =3 \end{gathered}

Substitute m=3 into the equation, as well as the values of one of the pairs. Take x=2 and y=8. You can then find the value of b:


\begin{gathered} 8=3(2)+b \\ =6+b \\ \Rightarrow b=2 \end{gathered}

Substitute b=2 and m=3 to find the equation of that linear relation:


y=3x+2

Substitute x=7 to find the missing value of y:


\begin{gathered} y=3\cdot7+2 \\ =21+2 \\ =23 \end{gathered}

Therefore, the equation of the table is y=3x+2 and the missing value of y when x=7 is 23.

User Ellen Teapot
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