document.write( "Question 1018574: PLEASE NEED ANSWERS ASAP NOW, SHOW ALL WORK \r
\n" ); document.write( "\n" ); document.write( "1. State the slope and a point on the line y – 18 = 71.3(x + 98).
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\n" ); document.write( "\n" ); document.write( "2. Write an equation for a line that passes through the point (4,9) and has a slope of 16.\r
\n" ); document.write( "\n" ); document.write( "3. Explain why y + 1 = 1.2(x + 2) and y – 5 = 1.2(x – 3) represent the same line, despite having different equations.
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Algebra.Com's Answer #634653 by Cromlix(4381)\"\" \"About 
You can put this solution on YOUR website!
Hi there,
\n" ); document.write( "1) y - 18 = 71.3(x + 98)
\n" ); document.write( "y - 18 = 71.3x + 6987.4
\n" ); document.write( "y = 71.3x + 6987.4 + 18
\n" ); document.write( "y = 71.3x + 7005.4
\n" ); document.write( "Slope = 71.3
\n" ); document.write( "Cuts 'y' axis at (0, 7005.4)
\n" ); document.write( "A point on this line:-
\n" ); document.write( "(1, 7076.7) for example.
\n" ); document.write( "2) Using line equation
\n" ); document.write( "y - b = m(x - a)
\n" ); document.write( "where m = 16
\n" ); document.write( "(a,b) = (4,9)
\n" ); document.write( "y - 9 = 16(x - 4)
\n" ); document.write( "y - 9 = 16x - 64
\n" ); document.write( "y = 16x - 64 + 9
\n" ); document.write( "y = 16x - 55
\n" ); document.write( "3) y + 1 = 1.2(x + 2)
\n" ); document.write( "y + 1 = 1.2x + 2.4
\n" ); document.write( "y = 1.2x + 2.4 - 1
\n" ); document.write( "y = 1.2x + 1.4.........(1)
\n" ); document.write( "y - 5 = 1.2(x - 3)
\n" ); document.write( "y - 5 = 1.2x - 3.6
\n" ); document.write( "y = 1.2x - 3.6 + 5
\n" ); document.write( "y = 1.2x + 1.4.........(2)
\n" ); document.write( "Both equations (1) & (2) work out to
\n" ); document.write( "the same equation.
\n" ); document.write( "Equation (1) uses (-1, -2) and slope 1.2
\n" ); document.write( "Equation (2) uses (5, 3) and slope 1.2
\n" ); document.write( "Both sets of the coordinates (-1,-2) and (5,3)
\n" ); document.write( "lie on the same line: y = 1.2x + 1.4
\n" ); document.write( "Hope this helps :-)
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