document.write( "Question 549023: which is an equation for the line passing through the point (1,4) and having the slope of 2? \n" ); document.write( "

Algebra.Com's Answer #357410 by mathie123(224) $\"\"$ $\"About$

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We know the slope-intercept form of a line is y=mx+b
\n" ); document.write( "where m is the slope, and b is the y-intercept.
\n" ); document.write( "We are given the slope and a point(x,y) . \r
\n" ); document.write( "\n" ); document.write( "Substituting these values into y=mx+b and solving for b we get:
\n" ); document.write( " $\"4=2%2A1%2Bb\"$
\n" ); document.write( " $\"4-2=b\"$
\n" ); document.write( " $\"b=2\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now substituting this value and our slope into the slope-intercept form, we get our equation of the line we want:
\n" ); document.write( " $\"y=2%2Ax%2B2\"$ \n" ); document.write( "

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