document.write( "Question 587363: write an equation in slope intercept form for a line that passes through the given point and that is perpendicular to the given line. x= -7; (0,2) \n" ); document.write( "

Algebra.Com's Answer #374080 by josmiceli(19441) $\"\"$ $\"About$

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$\"+x+=+-7+\"$ is a vertical line through (-7,0)
\n" ); document.write( "Think of the equation as saying: \" I am a line
\n" ); document.write( "that always sees $\"-7\"$ on the x-axis, and
\n" ); document.write( "I don't care what $\"y\"$ is.\"
\n" ); document.write( "Any line perpendicular to this line will be a horizontal
\n" ); document.write( "line which means it has slope = $\"0\"$ .
\n" ); document.write( "If the general form of an equation is $\"+y+=+m%2Ax+%2B+b+\"$ ,
\n" ); document.write( "where $\"m\"$ = slope, then I have
\n" ); document.write( " $\"+y+=+0%2Ax+%2B+b+\"$
\n" ); document.write( " $\"+y+=+b+\"$
\n" ); document.write( "The line goes through (0,2), which is on the y-axis
\n" ); document.write( "It intersects the given vertical line $\"+x+=+-7+\"$ at
\n" ); document.write( "(-7,2). Both these points tell me that the equation is
\n" ); document.write( " $\"+y+=+2+\"$ \n" ); document.write( "

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