document.write( "Question 1209415: 2x + 3y = -6\r
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Algebra.Com's Answer #848771 by math_tutor2020(3816)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Please provide all instructions that go along with the equation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I'll assume you want to graph this. If so, then we can replace x with 0 to find y. \n" ); document.write( "2x + 3y = -6 \n" ); document.write( "2*0 + 3y = -6 \n" ); document.write( "3y = -6 \n" ); document.write( "y = -6/3 \n" ); document.write( "y = -2 \n" ); document.write( "Therefore (x,y) = (0,-2) is a point on this line. It's the y intercept.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now let's plug in y = 0 to find x. \n" ); document.write( "2x + 3y = -6 \n" ); document.write( "2x + 3*0 = -6 \n" ); document.write( "2x = -6 \n" ); document.write( "x = -6/2 \n" ); document.write( "x = -3 \n" ); document.write( "The x intercept is located at (-3,0)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Plot (0,-2) and (-3,0) on the same xy grid. Draw a straight line through the two points. Extend the line as far as possible in both directions. \n" ); document.write( " \n" ); document.write( "Desmos and GeoGebra are two graphing tools I recommend.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "--------------------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If you wanted to solve for y to get into slope-intercept form, then, \n" ); document.write( "2x+3y = -6 \n" ); document.write( "3y = -2x-6 \n" ); document.write( "y = (-2x-6)/3 \n" ); document.write( "y = (-2x)/3 - 6/3 \n" ); document.write( "y = (-2/3)x - 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It fits the y = mx+b template \n" ); document.write( "m = -2/3 = slope \n" ); document.write( "b = -2 = y intercept \n" ); document.write( " \n" ); document.write( " |