document.write( "Question 117349: these two points determine a line: (0,3) (2,5) give three points also on this line \n" ); document.write( "
Algebra.Com's Answer #85986 by BrittanyM(80)![]() ![]() ![]() You can put this solution on YOUR website! With the given points, we are able to construct an equation of the line.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Using the points, we can first find the slope:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This gives us a slope of 1.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Next, we will pick one of the given points and plug the coordinates, along with the slope, into the point-slope formula:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(y - 3) = 1(x - 0) \n" ); document.write( "y = x + 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now, we can graph the line in order to locate new points.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Three other points that are also located on this line could be:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "( 6 , 9 ) \n" ); document.write( "( 5 , 8 ) \n" ); document.write( "( 4 , 7 ) \n" ); document.write( " |