document.write( "Question 162047: Find an equation of the line containing the given pair of points.
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document.write( "(-7,-2) and (-3,-5)
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document.write( "The equation of the line is
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document.write( "y=
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document.write( "(simplify your answer. Use integers or fractions for any numbers in the expression.) \n" );
document.write( "
Algebra.Com's Answer #119430 by schrammbledeggs(41) ![]() You can put this solution on YOUR website! Well you can find your slope by doing (y2-y1)/(x2-x1)...\r \n" ); document.write( "\n" ); document.write( "y2 = -5 \n" ); document.write( "y1 = -2 \n" ); document.write( "x2 = -3 \n" ); document.write( "x1 = -7\r \n" ); document.write( "\n" ); document.write( "(-5 - -2)/(-3 - -7) \n" ); document.write( "(-3)/(4) \n" ); document.write( "Your slope = -3/4\r \n" ); document.write( "\n" ); document.write( "So since we want our answer in the form of y=mx + b...and since we already have m...we can take one of the two points we were given (it doesn't matter which) and plug it in and solve for b.\r \n" ); document.write( "\n" ); document.write( "I'll use (-7, -2)...\r \n" ); document.write( "\n" ); document.write( "y=mx+b \n" ); document.write( "-2 = (-3/4) * (-7) + b \n" ); document.write( "-2 = (21/4) + b\r \n" ); document.write( "\n" ); document.write( "Convert -2 into a fraction for the upcoming fractional subtraction...\r \n" ); document.write( "\n" ); document.write( "-2 = -8/4\r \n" ); document.write( "\n" ); document.write( "(-8/4) = (21/4) + b\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract (21/4) from both sides...\r \n" ); document.write( "\n" ); document.write( "(-8/4) - (21/4) = (21/4) + b - (21/4) \n" ); document.write( "(-29/4) = b\r \n" ); document.write( "\n" ); document.write( "So now that we have b we can write our equation of that line...\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = (-3/4)x - (29/4)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There ya go :) \n" ); document.write( " |