document.write( "Question 101959: Can you solve this for me? Fnd the slope, delta y, delta x, y intercept, x intercept, midsection, and distance given only this information:
\n" ); document.write( "(-6,14) (18,-4) \n" ); document.write( "

Algebra.Com's Answer #74141 by stanbon(75887) $\"\"$ $\"About$

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Fnd the slope, delta y, delta x, y intercept, x intercept, midsection, and distance given only this information:
\n" ); document.write( "(-6,14) (18,-4)
\n" ); document.write( "---------------------
\n" ); document.write( "delta y = [14--4]=18
\n" ); document.write( "delta x = [-6-18]=-24
\n" ); document.write( "slope = 18/-24 = -3/4
\n" ); document.write( "--------------------------
\n" ); document.write( "midpoint = [(-6+18)/2,(14+-4)/2] = (6,5)
\n" ); document.write( "----------------------------
\n" ); document.write( "distance = sqrt[18^2+(-24)^2] = sqrt(900) = 30
\n" ); document.write( "-------------------------------
\n" ); document.write( "Equation has form y=mx+b; need to find \"b\".
\n" ); document.write( "14=(-3/4)(-6)+b/
\n" ); document.write( "14=(9/2)+b
\n" ); document.write( "b = (28-9)/2 = 19/2
\n" ); document.write( "EQUATION: y = (-3/4)x + 19/2
\n" ); document.write( "----------------
\n" ); document.write( "y-intercept:
\n" ); document.write( "Let x=0 then y = 19/2
\n" ); document.write( "-------------------
\n" ); document.write( "x-intercept:
\n" ); document.write( "Let y=0, then (-3/4)x+19/2 = 0 ; x = (19/2)(4/3)= 38/3
\n" ); document.write( "============================================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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