document.write( "Question 581341: 3.Write the equation of the line which passes through (–4, 2) and is parallel to y = –x + 6 in slope-intercept form \n" ); document.write( "
Algebra.Com's Answer #371583 by nyc_function(2741)![]() ![]() You can put this solution on YOUR website! The equation we seek has the same slope as the given equation because we know they are parallel. We use the point-slope formula, the given point (-4,2) and given slope -1. Do you see in your equation -x? There is an invisible -1 next to x. \r \n" ); document.write( "\n" ); document.write( "So, -x is the same as -1x. \r \n" ); document.write( "\n" ); document.write( "The coefficient of x ( the number next to x) is the slope of the line. \r \n" ); document.write( "\n" ); document.write( "y - (y coordinate of your point) = m(x -(x coordinate of your point) \r \n" ); document.write( "\n" ); document.write( "Let m = slope of the line \r \n" ); document.write( "\n" ); document.write( "y - 2 = -1(x -(-4)) \r \n" ); document.write( "\n" ); document.write( "y - 2 = -1(x + 4) \r \n" ); document.write( "\n" ); document.write( "y - 2 = -x - 4 \r \n" ); document.write( "\n" ); document.write( "y = -x - 4 + 2 \r \n" ); document.write( "\n" ); document.write( "ANSWER: y = -x - 2 \n" ); document.write( " |