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1 .Write the standard form of the equation of the line passing thru each pair of points
\n" ); document.write( "(-1,-7) and (1,3)
\n" ); document.write( "(5, 3) and (-4,3)
\n" ); document.write( "There are 2 ways to do these. I'll use the long way on the 1st one.
\n" ); document.write( "-------------
\n" ); document.write( "1st, find the slope, m, of the line thru the points.
\n" ); document.write( "m = (diffy)/(diffx)
\n" ); document.write( "m = (3-(-7))/(1-(-1))
\n" ); document.write( "m = 5
\n" ); document.write( "Then use either point:
\n" ); document.write( "y-y1 = m*(x-x1)
\n" ); document.write( "y-3 = 5(x-1)
\n" ); document.write( "y-3 = 5x-5
\n" ); document.write( "5x-y = 2
\n" ); document.write( "---------------
\n" ); document.write( "The simpler method:
\n" ); document.write( "|+x y 1|
\n" ); document.write( "|+5 3 1| = 0
\n" ); document.write( "|-4 3 1|
\n" ); document.write( "(The plus signs are for alignment only.)
\n" ); document.write( "x(3-3) - y(5+4) + (15+12) = 0
\n" ); document.write( "-9y = -27
\n" ); document.write( "y = 3
\n" ); document.write( "-------------
\n" ); document.write( "2. Give an equation in slope intercept form of the line satisfying the given conditions:
\n" ); document.write( "has y intercept 5 and slope -3/4
\n" ); document.write( "y = mx+ b where m=slope and b = y-intercept
\n" ); document.write( "y = (-3/4)x + 5
\n" ); document.write( "That's all, it was given.
\n" ); document.write( "---------------------------
\n" ); document.write( "has slope -3 and passes through (2, -4)
\n" ); document.write( "y-y1 = m(x-x1)
\n" ); document.write( "y+4 = -3(x-2)
\n" ); document.write( "y+4 = -3x+6
\n" ); document.write( "y = -3x+2
\n" ); document.write( " \n" ); document.write( "