document.write( "Question 58541: can someone help me out with this and show me how to put a line containing the points (1,4),(2,7, and (3,10)in slope-intercept form an equation and how i would graph this i am confused \n" ); document.write( "
Algebra.Com's Answer #40093 by checkley71(8403)![]() ![]() ![]() You can put this solution on YOUR website! TO CALCULATE THE SLOPE BETWEEN TWO POINTS (1,4)&(2,7) YOU MAKE A FRACTION THUS \n" ); document.write( "(Y2-Y1)(X2-X1) OR \n" ); document.write( "(7-4)/(2-1)=3/1=3 FOR THE SLOPE \n" ); document.write( "TO VERIFY THAT THE THESE THREE POINTS ARE ON THE SAME LINE WE CALCULATE THE SLOPE OF TWO OTHER POINTS THUS \n" ); document.write( "(10-4)/(3-1)=6/2=3 SAME SLOPE THUS THEY ARE ON THE SAME LINE \n" ); document.write( "NOW PLOT THE THREE POINTS AND DRAW A LINE THROUGHT THEM. \n" ); document.write( "THE EQUATION FOR THE LINE IS\r \n" ); document.write( "\n" ); document.write( "Y=mX+b WHERE m=THE SLOPE OF 3 SO \n" ); document.write( "Y=3X+b NOW SUBSTITUTE ANY OF THE THREE POINTS FOR THE Y & X VALUES IN THIS EQUATION AND SOLVE FOR THE Y INTERCEPT(b). THUS\r \n" ); document.write( "\n" ); document.write( "7=3*2+b \n" ); document.write( "7=6+b \n" ); document.write( "b=7-6 \n" ); document.write( "b=1 FOR THE Y INTERCEPT (0,1)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |