document.write( "Question 174012: I have a question on writing equations of parallel lines
\n" ); document.write( "I understand that in order for an equation to be parallel with another, they must have the same slope.
\n" ); document.write( "here is the problem\r
\n" ); document.write( "\n" ); document.write( "Write an equation of a line that passes through the point given and is parallel to the given line: (4,7), y= 5x-3
\n" ); document.write( "I do not know what to do. please explain the steps for further use. \n" ); document.write( "

Algebra.Com's Answer #128933 by Mathtut(3670) $\"\"$ $\"About$

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first you must write the equation in y=mx+b format or slope intercept form. the slope is m and the y intercept is b. Since the equation is already in that form we know what the slope is y= $\"5\"$ x-3. m=5. therefore as you say a line parallel to that line must have this same slope.
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\n" ); document.write( "so we have the slope of 5. In order to write an equation of a line we need the slope and a point. We have both as (4,7) is the given point. Now we use the point slope formula which is y-k=m(x-h) where (h,k) is any point on the line
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\n" ); document.write( "y-7=5(x-4)
\n" ); document.write( ":
\n" ); document.write( "y-7=5x-20
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\n" ); document.write( " $\"highlight%285x-y=13%29\"$ standard form $\"highlight%28y=5x-13%29\"$ point slope form \n" ); document.write( "

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