document.write( "Question 272649: Please help me...I have to find the slope of the pair (-9,-9) and (7,-9)...I came up with 0/16...what is the slope? Please show me how?...Thank you I look forward to hearing from you. \n" ); document.write( "
Algebra.Com's Answer #199377 by Theo(13342)![]() ![]() You can put this solution on YOUR website! your point pairs are:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(x1,y1) = (-9,-9)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(x2,y2) = (7,-9)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the slope is the change in the value of y divided by the change in the value of x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the change in the value of y is y2 - y1 = (-9) - (-9) = (-9) + 9 = 0.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the change in the value of x is x2 - x1 = (7) - (-9) = (7) + (9) = 16\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your slope is 0/16 = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I believe you have the right answer.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the slope intercept form of the equation of a straight line is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = mx + b\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "where m is the slope and b is the y intercept.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since the slope is 0, we can use either one of the 2 points to find the equation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let's use the point (x1,y1) = (-9,-9)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since the slope is equal to 0, your equation becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = 0x + b\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "we let y = -9 and x = -9 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-9 = 0*(-9) + b\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-9 = b\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since b is the y intercept, your equation becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = 0x - 9 which is the same as:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = -9\r \n" ); document.write( " \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( "\n" ); document.write( "what you have is a horizontal line at y = -9\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if this is the equation of your line, then both points must be on that line.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your first point is (x1,y1) = (-9,-9).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "look on the graph and you can see that when x = -9, y = -9.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your second point is (x2,y2) = (7,-9)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "look on the graph and you can see that when x = 7, y = -9\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in fact, x can be any value and y will be equal to -9.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you had it right.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |