document.write( "Question 77856: okay i have to find the standard form of a line that has slope of 3 and passes through the coordinate pair (4,2) \n" ); document.write( "
Algebra.Com's Answer #55811 by chitra(359)![]() ![]() You can put this solution on YOUR website! The general equation of the line is given by: \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = mx + b \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Where m is the slope and (x,y) is the co-ordinate point. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let us substitute the given slope and the point in the above equation. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = (3)x + b \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now substituting the point, we have,\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2 = (3)(4) + b \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2 = 12 + b \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2 - 12 = b \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "b = -10 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now, we substitute the \"b\" value and the slope to find the equation of the straight line.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = 3x - 12\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "is the equation of the required line.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hence, the solution. \n" ); document.write( " |