document.write( "Question 648011: determine whether the following lines are parallel, perpendicular, or neither:\r
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document.write( "x-5y=15 & 5x +y =25 \n" );
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Algebra.Com's Answer #406541 by Algebraic(50)![]() ![]() You can put this solution on YOUR website! Original equations: \n" ); document.write( "\n" ); document.write( "To be able to tell whether lines are parallel, perpendicular, or neither, we first have to put them in standard form (slope-intercept form). Then, you must compare both slopes. \n" ); document.write( "If the slopes are the same, the lines are parallel. \n" ); document.write( "If the slopes are opposite reciprocals, the lines are perpendicular. \n" ); document.write( "If there is no resemblance between the slopes, then the lines are neither parallel or perpendicular.\r \n" ); document.write( "\n" ); document.write( "Slope-intercept form: \n" ); document.write( "\n" ); document.write( "Step 1: Let's start by putting the first equation in slope-intercept form\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We want to get '-5y' by itself so let's subtract 'x' to both sides\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 2: Now divide '-5' to both sides to get 'y' by itself\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The slope-intercept form of the first line is \n" ); document.write( "\n" ); document.write( "Let's find the slope-intercept form of the other line\r \n" ); document.write( "\n" ); document.write( "Step 1: Let's start by putting the first equation in slope-intercept form\r \n" ); document.write( "\n" ); document.write( "We want to get 'y' by itself so let's subtract '5x' to both sides\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now, both equations are in slope-intercept form, so let's compare the slopes of both.\r \n" ); document.write( "\n" ); document.write( "The two equations:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The lines have perpendicular slopes because they are opposite reciprocal to each other.\r \n" ); document.write( "\n" ); document.write( "The lines are perpendicular is your answer.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |