Applications: Geometry
Geometry
Some friends are hiking in the woods and need to find the shortest path to the river. They use a map for this.
This map can be described by a plane with #\rv{x,y}#-coordinates. We describe the river as a straight line given by the linear formula
\[y=-{{x}\over{2}}-4 \] where the position of the hikers is represented by the point #P=\rv{2,1}#.
Which linear formula best describes the shortest path from the hikers to the river? Give your answer in the form
\[ y = m\cdot{x}+c \] where #m# and #c# are real numbers.
This map can be described by a plane with #\rv{x,y}#-coordinates. We describe the river as a straight line given by the linear formula
\[y=-{{x}\over{2}}-4 \] where the position of the hikers is represented by the point #P=\rv{2,1}#.
Which linear formula best describes the shortest path from the hikers to the river? Give your answer in the form
\[ y = m\cdot{x}+c \] where #m# and #c# are real numbers.
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