SOLUTION: Hi! I appreciate your help solving question. It is not from textbook.Thanks A quadrilateral is bounded by absvalue(x-1)=5 and absvalue y=3. Give the coordinates of the vertices

Algebra ->  Rational-functions -> SOLUTION: Hi! I appreciate your help solving question. It is not from textbook.Thanks A quadrilateral is bounded by absvalue(x-1)=5 and absvalue y=3. Give the coordinates of the vertices      Log On


   

Question 124829: Hi! I appreciate your help solving question. It is not from textbook.Thanks
A quadrilateral is bounded by absvalue(x-1)=5 and absvalue y=3. Give the coordinates of the vertices
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
You have two equations, each of which is going to graph to two straight lines.

abs%28x-1%29=5 => x-1=5 or x-1=-5 => x=6 or x=-4

abs%28y%29=3 => y=3 or y=-3

y=3 is a horizontal line where every ordered pair representing a point on the line has a y-coordinate of 3. Similarly, the ordered pairs describing y=-3 all have y-coordinates of -3.

x=6 is a vertical line such that all of the ordered pairs have an x-coordinate of 6. The two horizontal lines will intersect this vertical line at the points (6,3) and (6,-3), giving us two vertices of the quadrilateral.

x=-4 is a vertical line such that all of the ordered pairs have an x-coordinate of -4. The two horizontal lines will intersect this vertical line at the points (-4,3) and (-4,-3), giving us the other two vertices.