document.write( "Question 526258: Write an equation in slope-intercept form for the line that satisfies the following condition. Passes through (8,12, parallel to the line that passes through (12,6) and (37,13) \n" ); document.write( "

Algebra.Com's Answer #348390 by Maths68(1474) $\"\"$ $\"About$

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\n" ); document.write( "Slope of the line passes through (12,6) and (37,13)
\n" ); document.write( "m=y2-y1/x2-x1
\n" ); document.write( "m=13-6/37-12
\n" ); document.write( "m=7/25\r
\n" ); document.write( "\n" ); document.write( "Since the lines are parallel their slope will be same.\r
\n" ); document.write( "\n" ); document.write( "So required line has a slope 7/25 and passes through the point (8,12)\r
\n" ); document.write( "\n" ); document.write( "Standard equation of the line
\n" ); document.write( "y=mx+b\r
\n" ); document.write( "\n" ); document.write( "slope = m
\n" ); document.write( "y-intecept = b\r
\n" ); document.write( "\n" ); document.write( "Put the values of slope and points in above equation
\n" ); document.write( "12=(7/25)(8)+b
\n" ); document.write( "12=56/25+b
\n" ); document.write( "12-56/25=b
\n" ); document.write( "(300-56)/25=b
\n" ); document.write( "244/25=b\r
\n" ); document.write( "\n" ); document.write( "Now put the values of b and m in standard equation of the line
\n" ); document.write( "y=mx+b
\n" ); document.write( "y=(7/25)x+244/25
\n" ); document.write( "25y=7x+244\r
\n" ); document.write( "
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