document.write( "Question 28835: can you please help me find the equation of the line parallel to the graph of 3x-y=5 that contains the point (-1,4) and show how you got the answer? \n" ); document.write( "
Algebra.Com's Answer #15733 by josmiceli(19441)![]() ![]() You can put this solution on YOUR website! Use the point-slope formula. \n" ); document.write( "3x - y = 5 \n" ); document.write( "add y to both sides \n" ); document.write( "3x = 5 + y \n" ); document.write( "subtract 5 from both sides and put y on the left side \n" ); document.write( "y = 3x - 5 \n" ); document.write( "This is in the form y = mx + b, which is the slope intercept form \n" ); document.write( "m is always the slope \n" ); document.write( "m = 3 \n" ); document.write( "Use the point-slope formula for the point (-1, 4) \n" ); document.write( "m = (y - y[1]) / (x - x[1]) \n" ); document.write( "3 = (y - 4) / (x + 1) \n" ); document.write( "cross-multiply \n" ); document.write( "3x + 3 = y - 4 \n" ); document.write( "add 4 to both sides, put y on the left \n" ); document.write( "y = 3x + 7 \n" ); document.write( "check if (-1,4) solves this equation \n" ); document.write( "y = 3*(-1) + 7 \n" ); document.write( "y = -3 + 7 \n" ); document.write( "y = 4 \n" ); document.write( "checks \n" ); document.write( " |