document.write( "Question 451697: Find equation of line passing through the point (5,-2) and (-3,4)\r
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document.write( "I got the answer y=(-3/4)x+7/4 but I don't know how\r
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document.write( "Please show me step by step to get the answer. thanks \n" );
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Algebra.Com's Answer #310597 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! Find equation of line passing through the point (5,-2) and (-3,4) \n" ); document.write( ". \n" ); document.write( "First, find the slope: \n" ); document.write( "m = (y2-y1)/(x2-x1) \n" ); document.write( "m = (4-(-2))/(-3-5) \n" ); document.write( "m = (4+2)/(-3-5) \n" ); document.write( "m = (6)/(-8) \n" ); document.write( "m = -3/4 \n" ); document.write( ". \n" ); document.write( "Next, use one of the two given points (5, -2) and the slope above -- plug it into the \"point-slope\" form: \n" ); document.write( "y - y1 = m(x - x1) \n" ); document.write( "y - (-2) = (-3/4)(x - 5) \n" ); document.write( "y + 2 = (-3/4)x + 15/4 \n" ); document.write( "y = (-3/4)x + 15/4 - 2 \n" ); document.write( "y = (-3/4)x + 15/4 - 8/4 \n" ); document.write( "y = (-3/4)x + 7/4 \n" ); document.write( ". \n" ); document.write( "So, YES, you are correct! \n" ); document.write( " \n" ); document.write( " |