document.write( "Question 55967: I really need your help.\r
\n" ); document.write( "\n" ); document.write( "Write the equation in slope-intercept form of the line passing through each pair of points: (6,-2) and (3,-4)\r
\n" ); document.write( "\n" ); document.write( "Write the equation in slope-intercept form of the line passing through each pair of points: (-8,2) and (0,6)\r
\n" ); document.write( "\n" ); document.write( "Thank you...
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Algebra.Com's Answer #37948 by Lacey020991(49)\"\" \"About 
You can put this solution on YOUR website!
Question 1:
\n" ); document.write( " The formula with a line that has a slope of m and a y-intercept (the value of y where the line crosses the y-axis) of b is
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\n" ); document.write( "y = mx + b
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\n" ); document.write( "To find the slope, m, of the line is the change in y divided by the change in x.
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\n" ); document.write( "x1= 6 ; y1= -2
\n" ); document.write( "x2= 3 ; y2= -4
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\n" ); document.write( "\"m+=+%28y2-y1%29+%2F+%28x2-x1%29\"
\n" ); document.write( "\"m+=+%28-4+-+-2%29+%2F+%283+-+6%29\"
\n" ); document.write( "\"m=+%28-2%29%2F-3\"
\n" ); document.write( "\"m=+2%2F3\"
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\n" ); document.write( "Now, to find the y-intercept, b, use one of the points to get the x and y values, and solve for b.
\n" ); document.write( "Remember:
\n" ); document.write( "x1= 6 ; y1= -2
\n" ); document.write( "x2= 3 ; y2= -4
\n" ); document.write( "\"m=2%2F3\"\r
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\n" ); document.write( "y1 = mx1 + b
\n" ); document.write( "b = y1 - mx1
\n" ); document.write( "b = -2 - \"2%2F3\" (6)
\n" ); document.write( "b = -6
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\n" ); document.write( "Now that we know the slope, m = \"2%2F3\", and the y-intercept, b = -6, we can write the equation of the line:
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\n" ); document.write( "y= \"%282%2F3%29x+-6\"
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\n" ); document.write( "Question 2:
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\n" ); document.write( "We would do the same process:
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\n" ); document.write( "x1= -8 ; y1= 2
\n" ); document.write( "x2= 2 ; y2= 6
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\n" ); document.write( "\"m+=+%28y2-y1%29+%2F+%28x2-x1%29\"
\n" ); document.write( "\"m+=+%286+-+2%29+%2F+%282+-+-8%29\"
\n" ); document.write( "\"m=+4%2F10\"
\n" ); document.write( "\"m=+2%2F5\"
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\n" ); document.write( "y1 = mx1 + b
\n" ); document.write( "b = y1 - mx1
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\n" ); document.write( "\"b+=+2+-+%282%2F5%29%28-8%29\"
\n" ); document.write( "b = 5.2
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\n" ); document.write( "Now that we know the slope, \"m+=+%282%2F5%29\", and the y-intercept, b = 5.2, we can write the equation of the line:
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\n" ); document.write( "\"y=+%282%2F5%29x%2B5.2\"
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\n" ); document.write( "**Remember to always check your answer**
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