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Problem 51

Using Intercepts and Symmetry to Sketch a Graph In Exercises \(39-56\) , find any intercepts and test for symmetry. Then sketch the graph of the equation. $$ y=6-|x| $$

Problem 52

Using Intercepts and Symmetry to Sketch a Graph In Exercises \(39-56\) , find any intercepts and test for symmetry. Then sketch the graph of the equation. $$ y=|6-x| $$

Problem 53

Using Intercepts and Symmetry to Sketch a Graph In Exercises \(39-56\) , find any intercepts and test for symmetry. Then sketch the graph of the equation. $$ y^{2}-x=9 $$

Problem 54

Using Intercepts and Symmetry to Sketch a Graph In Exercises \(39-56\) , find any intercepts and test for symmetry. Then sketch the graph of the equation. $$ x^{2}+4 y^{2}=4 $$

Problem 55

Finding Parallel and Perpendicular Lines In Exercises \(55-62,\) write the general forms of the equations of the lines through the point (a) parallel to the given line and (b) perpendicular to the given line. $$ (-7,-2) \quad x=1 $$

Problem 55

Using Intercepts and Symmetry to Sketch a Graph In Exercises \(39-56\) , find any intercepts and test for symmetry. Then sketch the graph of the equation. $$ x+3 y^{2}=6 $$

Problem 56

Using Intercepts and Symmetry to Sketch a Graph In Exercises \(39-56\) , find any intercepts and test for symmetry. Then sketch the graph of the equation. $$ 3 x-4 y^{2}=8 $$

Problem 56

Finding Parallel and Perpendicular Lines In Exercises \(55-62,\) write the general forms of the equations of the lines through the point (a) parallel to the given line and (b) perpendicular to the given line. $$ (-1,0) \quad y=-3 $$

Problem 57

Finding Parallel and Perpendicular Lines In Exercises \(55-62,\) write the general forms of the equations of the lines through the point (a) parallel to the given line and (b) perpendicular to the given line. $$ (2,5) \quad x-y=-2 $$

Problem 57

Finding Points of Intersection In Exercises \(57-62\) , find the points of intersection of the graphs of the equations. $$ \begin{array}{c}{x+y=8} \\ {4 x-y=7}\end{array} $$

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