document.write( "Question 262749: Write an equation in point-slope form for the line through the given points or through the given point with the given slope. (-2,3); m = -1 \n" ); document.write( "

Algebra.Com's Answer #193571 by butterfliiizzz(18) $\"\"$ $\"About$

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y – y1 = m (x – x1)\r
\n" ); document.write( "\n" ); document.write( "Whenever you have a point, it is in the form: (x, y)
\n" ); document.write( "When inserting a point into the point slope equation, you will put it where the x1 and the y1 are located, because those subscripts are indicators of a SPECIFIC point.\r
\n" ); document.write( "\n" ); document.write( "So, given the point (-2, 3) and the slope m = -1, our equation will look like this:\r
\n" ); document.write( "\n" ); document.write( "y – 3 = -1 (x - -2)
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\n" ); document.write( "When you have minus a negative number, it becomes a positive or a plus:
\n" ); document.write( "y – 3 = -1 (x + 2)
\n" ); document.write( "Now we must distribute the -1 by multiplication:
\n" ); document.write( "y – 3 = -x – 2
\n" ); document.write( "We want this in y = mx + b format, so we must get the y by itself by adding 3 to each side:
\n" ); document.write( "y = -x +1 is the answer.
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