document.write( "Question 883103: given the linear equation (y-4)=-(x-1), what is the point and what is the slope? \n" ); document.write( "
Algebra.Com's Answer #533342 by josgarithmetic(39618)\"\" \"About 
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That equation is in point-slope form. This form shows you the slope and a point on the line.\r
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\n" ); document.write( "\n" ); document.write( "Assuming you know and understand the formula for slope of a line, you could have a variable point (x, y) and a known given point (u, v). Slope is vertical change divided by horizontal change:\r
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\n" ); document.write( "\n" ); document.write( "\"m=%28y-v%29%2F%28x-u%29\".
\n" ); document.write( "You have seen, studied, and exercised with this formula.\r
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\n" ); document.write( "\n" ); document.write( "Try multiplying the left side and the right side of the formula by \"x-u\".
\n" ); document.write( "\"m%2A%28x-u%29=y-v\"
\n" ); document.write( "\"highlight_green%28y-v=m%28x-u%29%29\", point-slope form.
\n" ); document.write( "You can see plainly the placement of the the slope, m; and the coordinates of the included known point (u, v).\r
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\n" ); document.write( "\n" ); document.write( "Compare the two forms:
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\n" ); document.write( "y-v=m(x-u)
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\n" ); document.write( "y-4=-(x-1)
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