document.write( "Question 387552: Find the slope and the y-intercept of each line whose equation is given. m = −3; (−2,1) SOMEONE PLEASE HELP !!!!!!!!!!! \n" ); document.write( "
Algebra.Com's Answer #273983 by Theo(13342)![]() ![]() You can put this solution on YOUR website! m is the slope and the line is passing through the point (x,y) = (-2,1)\r \n" ); document.write( "\n" ); document.write( "This means that x = -2 and y = 1 at that point on the graph.\r \n" ); document.write( "\n" ); document.write( "the slope intercept form of the equation of a straight line is y = m*x + b\r \n" ); document.write( "\n" ); document.write( "m is the slope \n" ); document.write( "b is the y-intercept\r \n" ); document.write( "\n" ); document.write( "replace m with -3 to get:\r \n" ); document.write( "\n" ); document.write( "y = -3x + b\r \n" ); document.write( "\n" ); document.write( "replace y with 1 and x with -2 and then solve for b.\r \n" ); document.write( "\n" ); document.write( "you get:\r \n" ); document.write( "\n" ); document.write( "1 = -3*(-2) + b\r \n" ); document.write( "\n" ); document.write( "this becomes:\r \n" ); document.write( "\n" ); document.write( "1 = 6 + b\r \n" ); document.write( "\n" ); document.write( "this results in b = -5\r \n" ); document.write( "\n" ); document.write( "your equation becomes:\r \n" ); document.write( "\n" ); document.write( "y = -3x - 5\r \n" ); document.write( "\n" ); document.write( "graph of your equation looks like this:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you can see that the graph passes through the point (-2,1)\r \n" ); document.write( "\n" ); document.write( "when x = -2, y = -3*(-2) - 5 = 6 - 5 = 1\r \n" ); document.write( "\n" ); document.write( "since the slope is -3, then for every + 1 unit change in the value of x, the value of y should change by - 3 units.\r \n" ); document.write( "\n" ); document.write( "when x = 0, y = -5. \n" ); document.write( "when x = 1, y = -8. \n" ); document.write( "when x = 1, y = -11. \n" ); document.write( "etc.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |