document.write( "Question 694421: Find an equation of the line containing the given points (-7,-8)and (-4,-6) \n" ); document.write( "
Algebra.Com's Answer #427887 by Ave(106) You can put this solution on YOUR website! First find the slope \n" ); document.write( "rise -8-(-6)=-2 \n" ); document.write( "run -7-(-4)=-3\r \n" ); document.write( "\n" ); document.write( "so 2/3 is slope, then use point slope form\r \n" ); document.write( "\n" ); document.write( "y-y1=slope(x-x1) pick either of the given points and plug it in to x1, y1\r \n" ); document.write( "\n" ); document.write( "I'll use (-7,-8)\r \n" ); document.write( "\n" ); document.write( "y-(-8)=2/3(x-(-7)) Times both sides by 3 to get rid of fraction\r \n" ); document.write( "\n" ); document.write( "3y+24=2(x+7) Add a negative 24 to each side \n" ); document.write( "3y=-24+2x+14 Combine like terms \n" ); document.write( "3y=2x-10 Divide by 3\r \n" ); document.write( "\n" ); document.write( "y=2/3x-10/3 usually written in this way (slope intercept)\r \n" ); document.write( "\n" ); document.write( "standard form would be -2x+3y=-10 \n" ); document.write( " |