document.write( "Question 710449: Can two intersecting lines have the same slope? \n" ); document.write( "
Algebra.Com's Answer #437015 by KMST(5328)\"\" \"About 
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\n" ); document.write( "If two lines have the same slope they are parallel lines (or they are the same line), so they cannot intersect at one point.
\n" ); document.write( "The drawing below shows why it makes sense that lines with the same slope are parallel.
\n" ); document.write( " The green and blue lines have slope = m.
\n" ); document.write( "I made right triangles by drawing a perpendicular to the x-axis(parallel to the y-axis) at a point 1 unit to the right of where each line intersects the x-axis.
\n" ); document.write( "because the slope of each line is m, the sides perpendicular to the x-axis have length m.
\n" ); document.write( "Both right triangles have legs measuring 1 and m, so they are congruent.
\n" ); document.write( "(It's like the same triangle sliding along the x-axis).
\n" ); document.write( "Because the triangles are congruent, the angles where the lines meet the x-axis are congruent.
\n" ); document.write( "Because the lines form the same angle with the x-axis, they are parallel.
\n" ); document.write( "Because they are parallel, they do not intersect \n" ); document.write( "
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