document.write( "Question 1169692: Find the distance from point A(−1, 7) to the line y=3x. \n" ); document.write( "
| Algebra.Com's Answer #794481 by Solver92311(821)     You can put this solution on YOUR website! \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1. Find the slope of the given line.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2. Calculate the negative reciprocal of the slope of the given line.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3. Use the Point-Slope form with the slope calculated in step 2 and the given point to derive the equation of the line through the given point perpendicular to the given line.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4. Solve the 2X2 system of equations consisting of the given equation and the equation derived in step 3 to find the point of intersection between the given line and the derived line.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5. Use the Distance Formula to calculate the distance from the given point to the point of intersection discovered in step 4.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "John \n" ); document.write( " \n" ); document.write( "My calculator said it, I believe it, that settles it \n" ); document.write( "  \r \n" ); document.write( "\n" ); document.write( "From \n" ); document.write( "I > Ø \n" ); document.write( " |