document.write( "Question 17723: HOW CAN I FIND THE EQUATION OF THE LINE PASSING THROUGH THE GIVEN POINTS?
\n" ); document.write( "AFTER YOU FIND THE EQUATION OF THE LINE PASSING THROUGH THE GIVEN POINTS HOW DO YOU FIND THE Y-INTERCEPT?
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Algebra.Com's Answer #8574 by xcentaur(357)\"\" \"About 
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Suppose you have two points P(a,b) and Q(c,d)
\n" ); document.write( "Let the line passing through P and Q have a slope 'm'
\n" ); document.write( "Then \"+m=%28d-b%29%2F%28c-a%29\"
\n" ); document.write( "or [difference in y-coordinates/difference of x-coordinates]
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\n" ); document.write( "Now take any one of the two points,say P(a,b)
\n" ); document.write( "We have the slope m
\n" ); document.write( "Taking slope-point form we get
\n" ); document.write( "y-b=m(x-a)
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\n" ); document.write( "Now we have the equation,to find the yintercept put x=0
\n" ); document.write( "y-b=m(x-a)
\n" ); document.write( "y-b=m(0-a)
\n" ); document.write( "y-b=-am
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\n" ); document.write( "To make it clear,take an example
\n" ); document.write( "There are two points A(1,5) B(4,7). Find the slope,equation and y-intercept.
\n" ); document.write( "A(1,5) B(4,7)
\n" ); document.write( "slope m=(7-5)/(4-1)
\n" ); document.write( "m=2/3
\n" ); document.write( "Equation of the line taking point A:
\n" ); document.write( "(y-5)=m(x-1)
\n" ); document.write( "y-5=2/3(x-1)
\n" ); document.write( "3(y-5)=2(x-1)
\n" ); document.write( "3y-15=2x-2
\n" ); document.write( "3y=2x-2+15
\n" ); document.write( "3y=2x+13
\n" ); document.write( "To find y-intercept,x=0
\n" ); document.write( "3y=2(0)+13
\n" ); document.write( "3y=15
\n" ); document.write( "y=5
\n" ); document.write( "therefore,Y-intercept=(0,5)
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\n" ); document.write( "Hope this helps,
\n" ); document.write( "Prabhat \n" ); document.write( "

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