document.write( "Question 158730This question is from textbook Algebra and Trigonomery/ Structure and Method Book 2
\n" ); document.write( ": Find the value of K so that the given line has slope m.
\n" ); document.write( "kx-3y=7 m=2
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equation given is \"k%2Ax+-+3%2Ay+=+7\" and m = 2
\n" ); document.write( "slope intercept form of the equation is y = m*x + b
\n" ); document.write( "where m is the slope and b is the y-intercept when x = 0.
\n" ); document.write( "converting the standard form of the equation to slope intercept is as follows:
\n" ); document.write( "add 3*y to both side of the equation to get
\n" ); document.write( "k*x = 3*y + 7
\n" ); document.write( "subtract 7 from both side of the equation to get
\n" ); document.write( "k*x - 7 = 3*y
\n" ); document.write( "this is the same as 3*y = k*x - 7
\n" ); document.write( "divided both sides of the equation by 3 to get
\n" ); document.write( "\"y+=+%28k%2Ax%2F3%29+-+%287%2F3%29\"
\n" ); document.write( "since m is the slope in the slope-intercept form of the equation, then
\n" ); document.write( "m must = (k/3)
\n" ); document.write( "since m = 2, then 2 = (k/3) and k = (2*3) = 6
\n" ); document.write( "substituting this in the standard form of the equation, we get
\n" ); document.write( "6*x - 3*y = 7
\n" ); document.write( "transforming the standard form of the equation to slope-intercept form to prove the answer is correct, we get
\n" ); document.write( "6*x -7 = 3*y
\n" ); document.write( "(6*x)/3 - (7/3) = y
\n" ); document.write( "slope is 6/3 = 2 = m proving the formula is correct.
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