document.write( "Question 807691: graph 3x+2y=8 by using the slope and the y- intercept. \r
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document.write( "I tried 3(0)+2y=8 and got (0,4)
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document.write( "I then tried it for y and got (8/3,0)\r
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document.write( "I need someone to explain to me what I need to do and how to graph Please! \n" );
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Algebra.Com's Answer #486455 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! You need two points on the line in order to graph it. \n" ); document.write( "First get the equation in slope-intercept form: y = mx + b \n" ); document.write( "--- \n" ); document.write( "3x + 2y = 8 \n" ); document.write( "2y = -3x + 8 \n" ); document.write( "y = (-3/2)x + 4 \n" ); document.write( "--- \n" ); document.write( "Plug-in two different x values in the equation to get their y values, like so: \n" ); document.write( "Point p1, use x=0: \n" ); document.write( "y = (-3/2)(0) + 4 \n" ); document.write( "y = 4 \n" ); document.write( "p1 = (0, 4) \n" ); document.write( "--- \n" ); document.write( "Point p2, use x=2: \n" ); document.write( "y = (-3/2)(2) + 4 \n" ); document.write( "y = -3 + 4 \n" ); document.write( "y = 1 \n" ); document.write( "p2 = (2, 1) \n" ); document.write( "--- \n" ); document.write( "To check the work, calculate the slope using the two points, like so: \n" ); document.write( "slope: m = (y2 - y1)/(x2 - x1) \n" ); document.write( "--- \n" ); document.write( "m = (1 - 4) / (2 - 0) \n" ); document.write( "m = -3/2 \n" ); document.write( "The work is correct. This slope matches the slope-intercept form above: y = (-3/2)x + 4 \n" ); document.write( "--- \n" ); document.write( "Now draw a line between points p1 and p2 to graph the equation. \n" ); document.write( "The line extends infinitely beyond both points. \n" ); document.write( "--- \n" ); document.write( "Solve and graph linear equations: \n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve quadratic equations, quadratic formula: \n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php \n" ); document.write( "--- \n" ); document.write( "Convert fractions, decimals, and percents: \n" ); document.write( "https://sooeet.com/math/fraction-decimal-percent.php \n" ); document.write( "--- \n" ); document.write( "Calculate and graph the linear regression of any data set: \n" ); document.write( "https://sooeet.com/math/linear-regression.php \n" ); document.write( " |