document.write( "Question 363036: A line passes through the points (k=3,-2k) and (4,1) and has a y-intercept of 6. Find the value of k. \n" ); document.write( "
Algebra.Com's Answer #259082 by ankor@dixie-net.com(22740)\"\" \"About 
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Assume the question is:
\n" ); document.write( "A line passes through the points (k+3,-2k) and (4,1) and has a y-intercept of 6.
\n" ); document.write( " Find the value of k.
\n" ); document.write( ":
\n" ); document.write( "Assign the given points as follows
\n" ); document.write( "x1=(k+3); y1=-2k
\n" ); document.write( "x2=4; y2=1
\n" ); document.write( ":
\n" ); document.write( "Find the slope using these points: m = \"%28%28y2-y1%29%29%2F%28%28x2-x1%29%29\"
\n" ); document.write( "m = \"%28%281-%28-2k%29%29%29%2F%28%284-%28k%2B3%29%29%29\" = \"%28%281%2B2k%29%29%2F%28%281-k%29%29\" is the slope
\n" ); document.write( ":
\n" ); document.write( "Write the slope intercept form
\n" ); document.write( "y = \"%28%281%2B2k%29%29%2F%28%281-k%29%29\"x + 6
\n" ); document.write( "Substitute 4 for x and 1 for y; solve for k
\n" ); document.write( "\"%28%281%2B2k%29%29%2F%28%281-k%29%29\"(4) + 6 = 1
\n" ); document.write( "\"%284%281%2B2k%29%29%2F%28%281-k%29%29\" = 1 - 6
\n" ); document.write( "\"%28%284%2B8k%29%29%2F%28%281-k%29%29\" = -5
\n" ); document.write( "multiply both sides by (1-k), results
\n" ); document.write( "4 + 8k = -5(1-k)
\n" ); document.write( "4 + 8k = -5 + 5k
\n" ); document.write( "8k - 5k = -4 - 4
\n" ); document.write( "3k = -9
\n" ); document.write( "k + \"%28-9%29%2F3\"
\n" ); document.write( "k = -3
\n" ); document.write( ":
\n" ); document.write( "Check solution find the value of the 1st pair as given:
\n" ); document.write( "(k+3,-2k)
\n" ); document.write( "-3+3, -2(-3) = 0, 6 \n" ); document.write( "
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