document.write( "Question 175001: how do i find the equation of the line that passes through the points (-2,2) and (0,5)? \n" ); document.write( "
Algebra.Com's Answer #130095 by actuary(112) ![]() You can put this solution on YOUR website! Since two points are given, you first need to find the slope (m) of the line.\r \n" ); document.write( "\n" ); document.write( "This is the general formula for the slope.\r \n" ); document.write( "\n" ); document.write( "m=(y2-y1)/(x2-x1) Substituting the actual values into the formula we have\r \n" ); document.write( "\n" ); document.write( "m = (5-2)/(0-(-2))= 3/2\r \n" ); document.write( "\n" ); document.write( "Now you can use the point-slope formula\r \n" ); document.write( "\n" ); document.write( "(y-2)=3/2*(x-(-2))\r \n" ); document.write( "\n" ); document.write( "So y = 3/2x+3+2= (3/2)x+5\r \n" ); document.write( "\n" ); document.write( "As a check, substitute the value for x=0 for the other given point.\r \n" ); document.write( "\n" ); document.write( "y=(3/2)*0+5=5 (Checks out OK)\r \n" ); document.write( "\n" ); document.write( "I hope that this helps\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |