document.write( "Question 313160: (1/4,-1/2)& (3/4,4)
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\n" ); document.write( "y= \n" ); document.write( "

Algebra.Com's Answer #223901 by texttutoring(324) $\"\"$ $\"About$

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Use the slope equation.\r
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\n" ); document.write( "\n" ); document.write( "m=(y2-y1)/(x2-x1) with x1=1/4, y1=-1/2 and x2=3/4, y2=4\r
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\n" ); document.write( "\n" ); document.write( "m = (4-(-1/2)) / (3/4 - 1/4)\r
\n" ); document.write( "\n" ); document.write( "m = (9/2) / (2/4)\r
\n" ); document.write( "\n" ); document.write( "m = (9/2)*(4/2) \r
\n" ); document.write( "\n" ); document.write( "m = 36/4\r
\n" ); document.write( "\n" ); document.write( "m=9\r
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\n" ); document.write( "\n" ); document.write( "Now use y=mx+b, with y=4, x=3/4 and m = 9. Solve for b.\r
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\n" ); document.write( "\n" ); document.write( "y=mx+b
\n" ); document.write( "4 = 9(3/4) + b
\n" ); document.write( "4 = 27/4 + b
\n" ); document.write( "4 - 27/4 = b
\n" ); document.write( "16/4 - 27/4 = b
\n" ); document.write( "-11/4 = b\r
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\n" ); document.write( "\n" ); document.write( "The equation of the line is:\r
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\n" ); document.write( "\n" ); document.write( "y = 9x -11/4 \n" ); document.write( "

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