document.write( "Question 94818: The equation of the line with y-intercept of 3 and perpendicular to the graph of 2x+y=5 is? \r
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document.write( "This is an sample test questions for my math assessment test. I will be taking in a few hours and this is my last question that I don't know how it works. I know the answer but I don't know how to get to that answer. Thank you very much! \n" );
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Algebra.Com's Answer #69036 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The equation of the line with y-intercept of 3 and perpendicular to the graph of 2x+y=5 is? \n" ); document.write( ": \n" ); document.write( "y intercept occurs when x = 0, therefore the equation in the form y = mx + b \n" ); document.write( "would be y = mx + 3 \n" ); document.write( ": \n" ); document.write( "Now we want to find the slope (m) of the given equation: \n" ); document.write( "Put equation in the slope/intercept (y = mx + b) form: \n" ); document.write( "2x + y = 5 \n" ); document.write( "y = -2x + 5 \n" ); document.write( "The slope m = -2 \n" ); document.write( ": \n" ); document.write( "Slope relationship between perpendicular lines is given as: m1*m2 = -1 \n" ); document.write( "Assume the m1 = -2 from the above equation, \n" ); document.write( "find m2 (the slope of the perpendicular line) y = mx + 3 \n" ); document.write( ": \n" ); document.write( "-2 * m2 = -1 \n" ); document.write( "Divide both sides by -1 and you have: \n" ); document.write( "m2 = -1/-2 \n" ); document.write( "m2 = +1/2 \n" ); document.write( ": \n" ); document.write( "The equation of the perpendicular line: y = \n" ); document.write( ": \n" ); document.write( "It will help you to memorize the perpendicular lines slope relationship \n" ); document.write( "m1 * m2 = 1, and that y intercept occurs when x = 0 \n" ); document.write( " |