document.write( "Question 626812: Find a general form of an equation of the line that has y-intercept 3/2 and passes through the center of the circle with endpoints of a diameter A(4, -3) and B(-2, 7).\r
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document.write( "*I tried to solve this by doing point-slope form since I had a point or two, and the slope already given to me. When I did that I ended up with 2x+3y=17 somehow, which I know isn't right. Then I tried finding the midpoint, and calculating slope to put into point slope form, which also didn't work. I know that the answer is x-2y=-3, but I would like to know the steps and approach to get to the right answer. Thank you! \n" );
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Algebra.Com's Answer #394445 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! Find a general form of an equation of the line that has y-intercept 3/2 and passes through the center of the circle with endpoints of a diameter A(4, -3) and B(-2, 7).\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "*I tried to solve this by doing point-slope form since I had a point or two, and the slope already given to me. When I did that I ended up with 2x+3y=17 somehow, which I know isn't right. Then I tried finding the midpoint, and calculating slope to put into point slope form, which also didn't work. I know that the answer is x-2y=-3, but I would like to know the steps and approach to get to the right answer. \n" ); document.write( "=========== \n" ); document.write( "Find the center of the circle. \n" ); document.write( "C is (1,2) \n" ); document.write( "------ \n" ); document.write( "Find a general form of an equation of the line that has y-intercept 3/2 and passes through the center of the circle with endpoints of a diameter A(4,-3) and B(-2,7). \n" ); document.write( "----- \n" ); document.write( "Find the slope, m \n" ); document.write( "m = diffy/diffx = (1.5 - 2)/(0 - 1) \n" ); document.write( "m = 1/2 \n" ); document.write( "---- \n" ); document.write( "y = mx + b \n" ); document.write( "2 = (1/2)1 + b \n" ); document.write( "b = 3/2 \n" ); document.write( "---- \n" ); document.write( "--> y = (1/2)x + 3/2 \n" ); document.write( "x - 2y = -3 \n" ); document.write( " \n" ); document.write( " |