document.write( "Question 258516: this is really about slope i couldnt find an option for it,,,but i really dont understand the whole slope thing...i did the x1 - y1 but i still cant get the right answer...if the equation is (6,6) and (2,2) \n" ); document.write( "
Algebra.Com's Answer #190324 by dabanfield(803)![]() ![]() ![]() You can put this solution on YOUR website! this is really about slope i couldnt find an option for it,,,but i really dont understand the whole slope thing...i did the x1 - y1 but i still cant get the right answer...if the equation is (6,6) and (2,2)\r \n" ); document.write( "\n" ); document.write( "The slope of the line between two points represents the change in the y-coordinates divided by the change in the x-coordinates. This is sometimes called the rise (of the line) over the run (of the line).\r \n" ); document.write( "\n" ); document.write( "In general the slope between two points (x1,y1) and (x2,y2) is then \r \n" ); document.write( "\n" ); document.write( "(y2-y1)/(x2-x1) \r \n" ); document.write( "\n" ); document.write( "So for these points the slope is (6-2)/(6-2) = 4/4 = 1 \r \n" ); document.write( "\n" ); document.write( "One of the standard forms of a line called the slope-intercept form:\r \n" ); document.write( "\n" ); document.write( "y = m*x + b\r \n" ); document.write( "\n" ); document.write( "In this form of a line m represents the slope and b represents the value of y where the line crosses the y-axis (which is when x = 0).\r \n" ); document.write( "\n" ); document.write( "In this particular case we already calculated the slope m to be 1 so the equation of the line is:\r \n" ); document.write( "\n" ); document.write( "y = 1*x + b\r \n" ); document.write( "\n" ); document.write( "We still need to find b. Since the line passes through the point (2,2) we know that when x=2, y is also equal to 2.\r \n" ); document.write( "\n" ); document.write( "So substituting 2 for x and 2 for y in the equation above:\r \n" ); document.write( "\n" ); document.write( "2 = 1*2 + b \n" ); document.write( "2 = 2 + b \n" ); document.write( "b = 0\r \n" ); document.write( "\n" ); document.write( "The equation for the line in slope-intercept form is:\r \n" ); document.write( "\n" ); document.write( "y = 1*x + 0 or \n" ); document.write( "y = x\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |