document.write( "Question 190915: write an equation of the line in slope-intercept form, containing the point (-4,5)and parallel to y=-3x=1. \n" ); document.write( "
Algebra.Com's Answer #143340 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! \"Slope intercept\" form: \n" ); document.write( "y = mx + b \n" ); document.write( "where \n" ); document.write( "m is slope \n" ); document.write( "b is y-intercept \n" ); document.write( ". \n" ); document.write( "For: \n" ); document.write( "y=-3x+1 \n" ); document.write( "The slope is -3 \n" ); document.write( ". \n" ); document.write( "For a line to be parallel to this, it must have the same slope. \n" ); document.write( ". \n" ); document.write( "Now, we know two things about our new line: \n" ); document.write( "m = -3 \n" ); document.write( "crosses at (-4,5) \n" ); document.write( ". \n" ); document.write( "Plug the above into the point slope form: \n" ); document.write( "y - y1 = m(x - x1) \n" ); document.write( "y - 5 = -3(x - (-4)) \n" ); document.write( "Now, we manipulate the above into the \"slope-intercept\" form: \n" ); document.write( "y - 5 = -3(x + 4) \n" ); document.write( "y - 5 = -3x - 12 \n" ); document.write( "y = -3x - 7 (this is what they're looking for)\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |