document.write( "Question 772854: can someone please help me solve this and explain step by step please \r
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\n" ); document.write( "\n" ); document.write( "The centerline of a new road that we are laying out passes thru grid points (602, 925) and (812, 745). To prepare for the surveyors, we are working out a linear equation for the centerline.
\n" ); document.write( "a) What is the slope of our line?
\n" ); document.write( "b) What is the y-intercept of our line?
\n" ); document.write( "a) slope (reduced fraction):
\n" ); document.write( "b) y-intercept (nearest integer):
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Algebra.Com's Answer #471975 by Cromlix(4381)\"\" \"About 
You can put this solution on YOUR website!
Equation for Slope.
\n" ); document.write( "y2 - y1/x2 - x1
\n" ); document.write( "745 - 925/812 - 602
\n" ); document.write( "-180/210 = -6/7
\n" ); document.write( "Using equation:
\n" ); document.write( "y - b = m(x - a)
\n" ); document.write( "We can use either set of coordinates
\n" ); document.write( "Using (602, 925)
\n" ); document.write( "a = 602, b = 925 and m (slope) = -6/7
\n" ); document.write( "y - b = m(x - a)
\n" ); document.write( "y - 925 = -6/7(x - 602)
\n" ); document.write( "y - 925 = -6/7x + 3612/7
\n" ); document.write( "y = -6/7x + 3612/7 + 6475/7 (925 = 6475/7)
\n" ); document.write( "y = -6/7x + 10087/7
\n" ); document.write( "OR
\n" ); document.write( "multiply thro by 7
\n" ); document.write( "7y = -6x + 10087\r
\n" ); document.write( "\n" ); document.write( "Slope = -6/7
\n" ); document.write( "y intercept (0, 10087/7) = (0, 1441)
\n" ); document.write( "Hope this helps.
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