document.write( "Question 279718: Hi there. I have been working 15x+5y=10 for quite some time now. Please help with plotting it on a graph. I am getting (1,5) and (3,-10) and it's not the right answer. Thanks in advance. \n" ); document.write( "
Algebra.Com's Answer #203318 by CharlesG2(834)![]() ![]() ![]() You can put this solution on YOUR website! Hi there. I have been working 15x+5y=10 for quite some time now. Please help with plotting it on a graph. I am getting (1,5) and (3,-10) and it's not the right answer. Thanks in advance. \r \n" ); document.write( "\n" ); document.write( "15x + 5y = 10 \n" ); document.write( "5y = -15x + 10 (rearranged) \n" ); document.write( "y = -3x + 2 (divided both sides by 5) \n" ); document.write( "since the equation of a line is y=mx+b where m is the slope and b is the y-intercept (vertical intercept or point (0,b)) --> \n" ); document.write( "slope = m = -3 \n" ); document.write( "y-intercept = b = 2 \n" ); document.write( "check (1,5) to see if it is on the line: \n" ); document.write( "5 = -3(1) + 2 \n" ); document.write( "5 = -3 + 2 \n" ); document.write( "5 = -1 \n" ); document.write( "no that is not true, (1,5) is not on the line \n" ); document.write( "check (3,-10) to see if that is on the line: \n" ); document.write( "-10 = -3(3) + 2 \n" ); document.write( "-10 = -9 + 2 \n" ); document.write( "-10 = -7 \n" ); document.write( "no that is also not true, (3,-10) is also not on the line \n" ); document.write( "what would be on the line? \n" ); document.write( "x=-5 --> y=-3(-5) + 2 = 15 + 2 = 17 \n" ); document.write( "x=-1 --> y=-3(-1) + 2 = 3 + 2 = 5 \n" ); document.write( "x=0 --> y=-3(0) + 2 = 2 (your y-intercept) \n" ); document.write( "x=1 --> y=-3(1) + 2 = -3 + 2 = -1 \n" ); document.write( "x=5 --> y=-3(5) + 2 = -15 + 2 = -13 \n" ); document.write( "graphing: \n" ); document.write( " |