document.write( "Question 315195: what is the equation of the line through points (-3,2) and (-4,5) \n" ); document.write( "
Algebra.Com's Answer #225528 by CharlesG2(834)![]() ![]() ![]() You can put this solution on YOUR website! what is the equation of the line through points (-3,2) and (-4,5)\r \n" ); document.write( "\n" ); document.write( "slope m = rise/run = (y2 - y1)/(x2 - x1) \n" ); document.write( "m = (5 - 2)/(-4 - -3) \n" ); document.write( "m = 3/(-4 + 3) \n" ); document.write( "m = 3/(-1) \n" ); document.write( "m = -3 \n" ); document.write( "slope intercept form of a line is y = mx + b, \n" ); document.write( "where b is the y-intercept or vertical-intercept or the point (0,b) \n" ); document.write( "y = -3x + b \n" ); document.write( "plug in either of the points to solve for b \n" ); document.write( "plugging in (-3,2): \n" ); document.write( "2 = -3(-3) + b \n" ); document.write( "2 = 9 + b \n" ); document.write( "-7 = b \n" ); document.write( "plugging in (-4,5): \n" ); document.write( "5 = -3(-4) + b \n" ); document.write( "5 = 12 + b \n" ); document.write( "again -7 = b \n" ); document.write( "equation of the line: \n" ); document.write( "y = -3x - 7 \n" ); document.write( " \n" ); document.write( " |