document.write( "Question 1201406: Find two points on the line 6y+3x=5 \n" ); document.write( "
Algebra.Com's Answer #835758 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "There are infinitely many points on this line since there are infinitely many numbers we could replace x with (or we could replace y with).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let's say we plugged in x = 0. \n" ); document.write( "Solve for y. \n" ); document.write( "6y+3x = 5 \n" ); document.write( "6y+3(0) = 5 \n" ); document.write( "6y = 5 \n" ); document.write( "y = 5/6 \n" ); document.write( "When x = 0, it leads to y = 5/6 \n" ); document.write( "One point on this line is (0, 5/6) which is the y-intercept. \n" ); document.write( "The y-intercept is where the line crosses the y axis.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now let's plug in y = 0 and solve for x. \n" ); document.write( "6y+3x = 5 \n" ); document.write( "6(0)+3x = 5 \n" ); document.write( "3x = 5 \n" ); document.write( "x = 5/3 \n" ); document.write( "The x-intercept is located at (5/3,0) \n" ); document.write( "The x-intercept is where the line crosses the x axis.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Graph \n" ); document.write( " \n" ); document.write( "Desmos and GeoGebra are two graphing options I recommend. \n" ); document.write( "5/6 = 0.8333 approximately \n" ); document.write( "5/3 = 1.6667 approximately\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There isn't a rule you have to use zero. It just happens to be the easiest value to work with. \n" ); document.write( "Feel free to try other values such as x = 1 or y = 5. \n" ); document.write( " \n" ); document.write( " |