document.write( "Question 1044401: The graph of the function f(x)=mx+b contains the points (r,3) and (7,s). Express s in terms of r if the graph is parallel to the line 3x-2y=7. The answer is s=-3/2r+27/2 I just don't know how to get there thank you \n" ); document.write( "
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The graph of the function f(x)=mx+b contains the points (r,3) and (7,s). Express s in terms of r if the graph is parallel to the line 3x-2y=7. The answer is s=-3/2r+27/2
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\n" ); document.write( "Parallel lines have the same slope, m.
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\n" ); document.write( "Find the slope of the line 3x-2y=7
\n" ); document.write( "Put it in slope-intercept form, y = mx + b
\n" ); document.write( "That means solve for y.
\n" ); document.write( "3x-2y=7
\n" ); document.write( "3x = 2y + 7
\n" ); document.write( "2y = 3x -7
\n" ); document.write( "y = (3/2)x - 7/2
\n" ); document.write( "Slope = 3/2
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\n" ); document.write( "Find the slope of the 2 points.
\n" ); document.write( "Slope = diffy/diffx = (s-3)/(7-r)
\n" ); document.write( "So (s-3)/(7-r) = 3/2
\n" ); document.write( "Cross multiply.
\n" ); document.write( "2(s-3) = 3(7-r)
\n" ); document.write( "2s-6 = 21-3r
\n" ); document.write( "2s = -3r + 27
\n" ); document.write( "s = (-3/2)r + 27/2\r
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