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)\"\" \"About 
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( "\"%283-5%29+%2F+%280-2%29\"\r
\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( "\"graph%28+600%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+x%2B3%29\"\r
\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( "
\n" );