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Problem 53

Determine whether the line through \(P_{1}\) and \(P_{2}\) is parallel, perpendicular, or neither parallel nor perpendicular to the line through \(Q_{1}\) and \(Q_{2}\). $$P_{1}(4,-5), P_{2}(6,-9) ; Q_{1}(5,-4), Q_{2}(1,4)$$

Problem 53

Find the equation of the line through the given points. $$(6,-11) \text { and }(-3,1)$$

Problem 54

Suppose \(A\) and \(B\) are positive and \(C\) is negative. Is the point where the graph of \(A x+B y=C\) crosses the \(y\) -axis above or below the \(x\) -axis?

Problem 54

Does \(|y|=x-1,\) where \(x \in\\{1,2,3,4\\},\) define \(y\) as a function of \(x ?\)

Problem 54

Find the equation of the line through the given points. $$(14,-1) \text { and }(-7,-7)$$

Problem 54

Determine whether the line through \(P_{1}\) and \(P_{2}\) is parallel, perpendicular, or neither parallel nor perpendicular to the line through \(Q_{1}\) and \(Q_{2}\). $$P_{1}(0,1), P_{2}(2,4) ; Q_{1}(-4,-7), Q_{2}(2,5)$$

Problem 55

Does \(y=x^{2},\) where \(x \in\\{-2,-1,0,1,2\\},\) define \(y\) as a function of \(x ?\)

Problem 55

Determine whether the line through \(P_{1}\) and \(P_{2}\) is parallel, perpendicular, or neither parallel nor perpendicular to the line through \(Q_{1}\) and \(Q_{2}\). $$P_{1}(5,1), P_{2}(3,-2) ; Q_{1}(0,-2), Q_{2}(3,-4)$$

Problem 55

Find the equation of the line through the given points. \((3,6)\) and \((0,-3)\)

Problem 55

Suppose \(A\) and \(C\) are negative and \(B\) is positive. Is the point where the graph of \(A x+B y=C\) crosses the \(x\) -axis to the left or to the right of the \(y\) -axis?

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