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Problem 31

For the following exercises, given each set of information, find a linear equation satisfying the conditions, if possible. Passes through (2,4) and (4,10)

Problem 32

For the following exercises, given each set of information, find a linear equation satisfying the conditions, if possible. Passes through (1,5) and (4,11)

Problem 32

Graph \(f(x)=0.5 x+10 .\) Pick a set of five ordered pairs using inputs \(x=-2,1,5,6,9\) and use linear regression to verify that the function is a good fit for the data.

Problem 33

For the following exercises, given each set of information, find a linear equation satisfying the conditions, if possible. Passes through (-1,4) and (5,2)

Problem 33

Graph \(f(x)=-2 x-10 .\) Pick a set of five ordered pairs using inputs \(x=-2,1,5,6,9\) and use linear regression to verify the function.

Problem 34

For the following exercises, given each set of information, find a linear equation satisfying the conditions, if possible. Passes through (-2,8) and (4,6)

Problem 35

For the following exercises, given each set of information, find a linear equation satisfying the conditions, if possible. \(x\) intercept at (-2,0) and \(y\) intercept at (0,-3)

Problem 36

For the following exercises, given each set of information, find a linear equation satisfying the conditions, if possible. \(x\) intercept at (-5,0) and \(y\) intercept at (0,4)

Problem 37

For the following exercises, determine whether the lines given by the equations below are parallel, perpendicular, or neither. $$ \begin{array}{l} 4 x-7 y=10 \\ 7 x+4 y=1 \end{array} $$

Problem 38

For the following exercises, determine whether the lines given by the equations below are parallel, perpendicular, or neither. $$ \begin{array}{l} 3 y+x=12 \\ -y=8 x+1 \end{array} $$

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